Find the Range of the Graph ASAP dudeeeeesssssss
A) -3 ≤ y ≤ 2
B) -3 and 2
C) -3 ≤ y ≤ 3
D) -2 ≤ y ≤ 3

Answer:

y =2x+14

Step-by-step explanation:

y - 2x= 14

Add 2x to each side

y -2x+2x = 2x+14

y =2x+14

Answer:

A: 25

B: 800

C: 2,400

Step-by-step explanation:

Hopes this helps. :) ( Unless you have already solved ) Just have a good day.

Answer:

A: 25

B: 800

C: 2,400

Step-by-step explanation:

Answer:

y = -1/3x -2

x-intercept = -6

Step-by-step explanation:

Slope = -1/3

y-intercept = -2

Substitute values into slope intercept form ;

y =mx +b

Where ; m = slope

b =y-intercept

Equation =

[tex]y = -\frac{1}{3} x -2[/tex]

Now graph the equation

x-intercept = ?

[tex]y = -\frac{1}{3} x -2[/tex]

Arrange in standard form and Let y = 0

[tex]y = -\frac{1}{3} x -2\\\\\frac{1}{3} x +y =-2\\\\\frac{1}{3} x +0=-2\\\\\frac{1}{3} x =-2[/tex]

Cross Multiply

[tex]x \times 1 = 3\times -2\\\\x = -6\\\\=(-6,0)[/tex]

So , (-6,-2)

Answer: b = 2A/h

Step-by-step explanation:

1/2 bh = A

2 ⋅ 1/2 bh = 2A

bh = 2A

bh/h = 2A/h

b = 2A/h

A. The size of the tower bounded by the plane z = 0 and the paraboloid z = 1 - x² - y² can be calculated using a double integral in polar coordinates. B. Differential equation models can be 1. free-falling stone, 2. spring vertical displacement C. The rate of change of temperature at the origin in the direction of the unit vector u = (3,-5) can be determined by T = r² + s².

A. To calculate the size of the tower bounded by the plane z = 0 and the paraboloid z = 1 - x² - y², we can use a double integral in polar coordinates. By expressing the paraboloid equation in polar coordinates, we can set up the integral and evaluate it to find the size of the tower.

B. Differential equation models are mathematical representations used to describe various real-life phenomena. For the given examples:

The free-falling stone can be modeled using Newton's second law and the concept of acceleration due to gravity.

The vertical displacement of a spring can be described using Hooke's law and the properties of springs.

Kirchhoff's Second Law, also known as the voltage law, can be used to model the behavior of electrical circuits.

Newton's Law of Cooling is a differential equation that describes the rate of change of temperature of an object as it loses heat to its surroundings.

Growth and decay phenomena, such as population growth or radioactive decay, can be modeled using exponential or logarithmic functions.

C. To calculate the rate of change of temperature at the origin in the direction of the unit vector u = (3,-5), we need to find the gradient of the temperature function T = r² + s². The gradient represents the direction of the steepest increase in a function. By computing the gradient at the origin and taking the dot product with the unit vector u, we can determine the rate of change of temperature in the desired direction.

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(5+2.5+2.5 Marks) A. Use double integral and polar coordinates to calculate the size of a tower bounded by the plane z = 0 and the paraboloid z = 1 - x² - y² B. Design a differential equation model for the following real-life phenomena: 1. free-falling stone, 2. spring vertical displacement, 3. Kirchoff's Second Law for the circuit, 4. Newton's Law of Cooling, and 5. Growth and Decay. C. The external body temperature in the r-s plane is T = r² +s². Calculate the rate of change of temperature at the origin in the direction of the unit vector u = (3,-5).

Answer:

The answer is C

Step-by-step explanation:

it just makes sence,and all the numbers are compatible with each other

Hoped it helped^^

The ordered pairs that represent a proportional relationship is (b)

For an ordered pair to represent a proportional relationship, the following equation must be true:

y^m = kx^n

The first table shows that:

y = x + 4 --- this does not represent proportional relationship

The second table shows that

y = x^2 ---- this represents proportional relationship

Hence, the ordered pairs that represent a proportional relationship is (b)

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Answer:

12/9 = 4/3

Step-by-step explanation:

write it as a fraction, then simplify by dividing numerator and denominator by 3.

Answer:

4/3 or 1.3

Step-by-step explanation:

12 divided by 9

Answer:

17

Step-by-step explanation:

You already owe 5 dollars and if you borrow 12 more, you have to pay that back later. You just add 5 and 12 and get 17.

The total debt is $17.

Combining items and counting them as a single, large group is done through addition.

Given that, the debt amount is $5.

Now, you borrowed $12 more, therefore, the total debt is:

5 + 12

= 17

Hence, the total debt is $17.

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The probability that at least one of the seven randomly selected births in the country is a girl is 0.986.

Given that the true probability of a baby being a boy is 0.528. To find the probability that at least one of the seven randomly selected births in the country is a girl, we need to find the probability that none of the seven babies is a girl and then subtract it from 1.

To find the probability that none of the seven babies is a girl, we find the probability that each of them is a boy and then multiply them together.Using the probability of having a boy, we can find the probability of having a girl:p(girl) = 1 - p(boy) = 1 - 0.528 = 0.472Using the multiplication rule for independent events, we can find the probability that none of the seven babies is a girl:

P(seven boys) = P(boy) × P(boy) × P(boy) × P(boy) × P(boy) × P(boy) × P(boy)= 0.528 × 0.528 × 0.528 × 0.528 × 0.528 × 0.528 × 0.528= 0.0137Therefore, the probability that at least one of the seven randomly selected births in the country is a girl is:1 - P(seven boys) = 1 - 0.0137 = 0.9863Rounding the answer to three decimal places, we get: 0.986

Thus, the probability that at least one of the seven randomly selected births in the country is a girl is 0.986.

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Answer: 857142/1000000

Step-by-step explanation:

i think

Answer: 48 = 2x + 4

Step-by-step explanation:

x = number of students Bill gave bouncy balls to

The + 4 is there because he had 4 remaining bouncy balls.

48 is what it equals because that is his total number of bouncy balls that he won.

Hope this helps!

Answer:

I think the answer is 10 or −2(x-6)

Step-by-step explanation:

The lower bound of the 90% confidence interval for the true average menstrual cycle length is 27.4.

a) Calculation for the lower bound of 90% confidence interval: The formula for calculating the confidence interval is, :

Lower Limit = X - Zα/2 × (σ/√n) Where, X = sample mean Zα/2 = 1.645σ = sample standard deviation= sample size Putting the given values into the formula, Lower Limit = 28.86 - 1.645 × (4.24/√50)≈ 27.4

The upper bound of the 90% confidence interval for the true average menstrual cycle length is 30.3.

b) Calculation for the upper bound of 90% confidence interval: The formula for calculating the confidence interval is,:

Upper Limit = X + Zα/2 × (σ/√n) Where ,X = sample mean Zα/2 = 1.645σ = sample standard deviation = sample size Putting the given values into the formula, Upper Limit = 28.86 + 1.645 × (4.24/√50)≈ 30.3

The confidence interval is (27.4, 30.3) and the hypothesized value is 29.5.

c) Hypothesis testing:According to the hypothesis, women's menstrual cycles are typically the same length as a lunar month - 29.5 days. So, we can check if the interval from (a,b) supports this hypothesis or not by comparing the hypothesized value with the confidence interval.

As we see that the hypothesized value is within the interval, we can say that the interval from (a,b) supports the hypothesis. Therefore, the answer is Yes.

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Answer:

....................... What's the question?

The rate at which the distance between the man and the plane is increasing when the plane passes over the radio tower is approximately 519.92 ft/sec.

Let's denote the distance between the man and the plane as x and the time elapsed since the plane passes over the radio tower as t. We are given that the plane is flying horizontally away from the man, so the height of the plane remains constant at 5000 ft.

We can set up a proportion based on the similar triangles formed by the man, the plane, and the tower:

x / 12000 = 5000 / t

Cross-multiplying, we have:

xt = 12000 * 5000

xt = 60,000,000

Now, we can differentiate both sides of the equation with respect to time t:

d(xt)/dt = d(60,000,000)/dt

dx/dt * t + x * dt/dt = 0

dx/dt * t + x * 1 = 0

dx/dt = -x/t

We are given that the plane is flying at a rate of 520 ft/sec, so dx/dt = 520 ft/sec.

At the moment the plane passes over the radio tower, the distance x is 12000 ft. We can substitute these values into the equation to find the rate at which the distance between the man and the plane is increasing:

520 = -12000 / t

Solving for t:

t = -12000 / 520 = -23.08 sec (approximately)

Since time cannot be negative, we discard the negative value and take the positive value of t.

Now, we can substitute the value of t into the equation to find dx/dt:

dx/dt = -x / t = -12000 / (-23.08) = 519.92 ft/sec (approximately)

Therefore, the rate at which the distance between the man and the plane is increasing when the plane passes over the radio tower is approximately 519.92 ft/sec.

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Answer:

50 and 75

Step-by-step explanation:

trust me bro

Answer:

50 and 75

Step-by-step explanation:

Hope this helps :)

the answer is in the photo

Answer:

A) 30

Step-by-step explanation:

3*10=30

A 30

Answer:

i think that is 146

Step-by-step explanation:

because

Answer:

equation B is linear. A linear equation will not contain exponents.

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

They both follow the formula of a linear function: y = mx + c, where m is the gradient and c is the y-intercept.

When you rearrange:

a. y = 60/x (this is a reciprocal function)

b. y = x - 1 (says that this linear function has a gradient of 1 and cuts the y-intercept at (0,-1))

c. y = 3x/2 -5/2 (says that this linear function has a gradient of 3/2 and cuts the y-intercept at (0, 5/2))

The x-intercepts are x = -5/3 and x = 5/3.

The y-intercept is (0, 25).

Solve x+9x^2 + 26x+24 < 0:

To solve this inequality, we can first simplify the expression:

9x^2 + 27x + 24 < 0

Now, we can factorize the quadratic expression:

(3x + 4)(3x + 6) < 0

Next, we determine the critical points by setting each factor to zero:

3x + 4 = 0 --> x = -4/3

3x + 6 = 0 --> x = -2

We now create a sign chart and test the intervals:

scss

Copy code

         -∞      -4/3       -2       +∞

(3x + 4)  -       0         +        +

(3x + 6)  -       -         +        +

From the sign chart, we can see that the inequality (3x + 4)(3x + 6) < 0 holds true when -4/3 < x < -2.

Therefore, the solution to the inequality x+9x^2 + 26x+24 < 0 is:

-4/3 < x < -2.

Determine the end behavior, x-/y-intercepts, and sketch the graph of f(x) = x - 9x^2 + 15x + 25:

End Behavior:

As x approaches negative infinity, the leading term -9x^2 dominates, and the function approaches negative infinity. As x approaches positive infinity, the leading term -9x^2 still dominates, and the function also approaches negative infinity.

x-intercepts:

To find the x-intercepts, we set f(x) = 0 and solve for x:

x - 9x^2 + 15x + 25 = 0

Combine like terms:

-9x^2 + 16x + 25 = 0

This quadratic equation can be factored as:

-(3x - 5)(3x + 5) = 0

Setting each factor to zero:

3x - 5 = 0 --> x = 5/3

3x + 5 = 0 --> x = -5/3

Therefore, the x-intercepts are x = -5/3 and x = 5/3.

y-intercept:

To find the y-intercept, we set x = 0 in the equation:

f(0) = 0 - 9(0)^2 + 15(0) + 25 = 25

Therefore, the y-intercept is (0, 25).

Sketching the graph:

Using the information gathered, we can sketch the graph of f(x). It is a downward-opening parabola that intersects the x-axis at x = -5/3 and x = 5/3, and the y-axis at y = 25. The end behavior shows that the graph approaches negative infinity as x approaches negative and positive infinity.

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Answer:

...

let me c

Step-by-step explanation:

Answers:

It's the last one in the chart

(-3-2i -2(24)=8      -51-6i)

Answer:

279.06

Step-by-step explanation:

1. The monthly payment of the 5-year loan is approximately $2,225.77.

2. The equivalent uniform annual cost for the tractor is approximately $5,572.50.

1. To calculate the monthly payment of a loan, we can use the formula for an amortizing loan. The formula is:

PMT = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of payments (number of years multiplied by 12)

In this case, the principal amount (P) is $100,000, the annual interest rate is 12%, and the loan duration is 5 years.

r = 12% / 12 = 1% per month

n = 5 years * 12 months/year = 60 months

PMT = 100,000 * (0.01 * (1 + 0.01)^60) / ((1 + 0.01)^60 - 1)

PMT ≈ $2,225.77

Therefore, the monthly payment of the 5-year loan is approximately $2,225.77.

2. To calculate the equivalent uniform annual cost, we need to consider the initial cost of the tractor, salvage value, maintenance costs, and the interest rate.

The equivalent uniform annual cost (EUAC) can be calculated using the formula:

EUAC = (Initial cost - Salvage value) + (Annual maintenance cost * Present worth factor)

The present worth factor can be calculated using the formula:

Present worth factor = (1 - (1 + r)^-n) / r

Where:

r = Interest rate (10%)

n = Number of years (10 years)

EUAC = ($7,500 - $5,000) + ($500 * ((1 - (1 + 0.10)^-10) / 0.10))

EUAC = $2,500 + ($500 * ((1 - 0.3855) / 0.10))

EUAC ≈ $2,500 + ($500 * 6.145)

EUAC ≈ $2,500 + $3,072.50

EUAC ≈ $5,572.50

Therefore, the equivalent uniform annual cost for the tractor is approximately $5,572.50.

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In order to completely delta hedge 480 shares of ABC company with an option delta of 0.6, you would need 3 call options.

To completely delta hedge your holdings of 480 shares of ABC company, you would need to calculate the number of call options required based on the delta of the option. The delta represents the change in the option price relative to the change in the underlying stock price. In this case, since the delta is given as 0.6, it means that for every $1 increase in the stock price, the option price will increase by $0.6.

To calculate the number of call options needed for delta hedging, you can use the following formula:

Number of call options = (Delta * Number of shares) / 100

Plugging in the given values, we have:

Number of call options = (0.6 * 480) / 100

Number of call options = 2.88

Since you cannot have a fractional number of options, you would need to round up to the nearest whole number. Therefore, you would need 3 call options to hedge your 480 shares of ABC company.

In summary, to completely delta hedge 480 shares of ABC company with an option delta of 0.6, you would need to acquire 3 call options.

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a. The null hypothesis that tests the hypothesis that two additional years of work experience have the same effect on the annual salary as being affiliated with a private university is given byH0: β1 = β2 = 0, where β1 is the coefficient of the variable YEARS and β2 is the coefficient of the variable PRIVATE.

This is because the hypothesis tests whether the coefficients of the two variables are equal to 0.The name of the statistical test that can be used to test the null hypothesis is the F-test, which compares the difference between the restricted model (i.e. the model with the null hypothesis) and the unrestricted model (i.e. the model without the null hypothesis) using the F-statistic.

b. The difference in the average salaries in private and public universities can be computed by comparing the coefficient of the variable PRIVATE to zero. If the coefficient is positive and significant, it means that being affiliated with a private university increases the average salary.

If the coefficient is negative and significant, it means that being affiliated with a private university decreases the average salary. If the coefficient is not significant, it means that there is no significant difference in the average salaries between private and public universities.

c. The average salary of a university professor with 10 years of work experience can be computed by using regression model (2) as follows:SALARY = 41,9686 + 3,03331(10) + (-0,0401094)(10)2 = 41,9686 + 30,3331 – 4,01094 = 68,29076Therefore, the average salary of a university professor with 10 years of work experience is $68,290.76.

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