Which of the following statements are true regarding functions?
Check all that apply.

a.) the horizontal line test may be used to determine whether a function is one-to-one.

b.) a function is a relation in which multiple values of the input variable are paired with at least one of the output variable.

c.) a sequence is a function whose domain is the set of rational numbers.

d.) the vertical line test may be used to determine whether a relation is a function.

Answer:

G79URIFFJ8FJV88888RU8FF

Step-by-step explanation:

Answer:

7.004 < 7.044

Step-by-step explanation:

Answer:

7.004 < 7.044

Step-by-step explanation:

Hey there !!!!

to campare these numbers first you look at the first digit of the number. the first digit of both numbers is 7 so we move on to the next digit. the second digit of both numbers is 0. then we move on to the next number. the third digit of number 7.004 is 0 and the third digit of number 7.044 is 4. so now we look is 0 bigger 4 or 4 bigger than 0. 4 is bigger than 0 so this decides that 7.044 is bigger than 7.004.

have a wonderful day

Answer: B.

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

b ive never had a brainliest ever in my life so can i have one

Step-by-step explanation:

pls GIVE ME BRAINLIEST  not trynna demand

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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The amount is an illustration of compound interest and the future amount is $283.81

The given parameters are:

The function of the future amount is given as:

\(A = Pe^{rt}\)

So, we have:

\(A = 200 * e^{5\% * 7}\)

Evaluate

A = 283.81

Hence, the future amount is $283.81

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

Angle R is an Angle

Step-by-step explanation:

This question has no photo or context

Evaluating the given integral by interpreting it in terms of areas in the figure is; 2

The integral of the curve we are evaluating is given by;

V = \(\int\limits^5_0 {f(x)} \, dx\)

With the aid of integration, it is possible for us to calculate a specific area under the graph of a given function of x. This involves that we utilize a definite integral with given lower and upper limits.

Integrals can as well be utilized to calculate the area enclosed by 2 intersecting curves with the limits of integration being defined by the specific points of intersection.

Now, let us evaluate our definite integral to get;

V = \(\int\limits^5_0 {f(x)} \, dx\)

= \(\int\limits^3_0 {f(x)} \, dx + \int\limits^5_3 {f(x)} \, dx\)

= A₁ + (-A₂)

= A₁ - A₂

= 5 - 3

= 2

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Answer:

8. B

9. D

Step-by-step explanation:

I think this is right if I'm not mistaken ..

The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

\(\huge\boxed{18,475}\)

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of n terms of an arithmetic sequence:

\(S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}\)

We have

\(a_1=2\\d=17-2=32-12=47-32=15\\n=50\)

Substitute:

\(S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475\)

Answer:

a) -6 mpg.

b) 2.77 mpg

c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Gas mileage A: Mean 36, standard deviation 6, sample of 50:

So

\(\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485\)

Gas mileage B: Mean 42, standard deviation 8, sample of 50:

So

\(\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314\)

Distribution of the difference:

Mean:

\(\mu = \mu_A - \mu_B = 36 - 42 = -6\)

Standard error:

\(s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142\)

A. Find the point estimate.

This is the difference of means, that is, -6 mpg.

B. Find the margin of error

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = zs = 1.96*1.4142 = 2.77\)

The margin of error is of 2.77 mpg

C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)

The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg

The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg

The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

The correct solution of the expression 3/4 ( 6x - 4) = 1/2 (x + 4) with the property that justify each step is shown below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)

Now, Solve the expression as;

⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)

⇒ 9/2x - 3 = 1/2x + 2                        By Distributive property

⇒ 9/2x - 3 - 1/2x = 1/2x + 2 - 1/2x     Subtraction property of equality

⇒ (9/2 - 1/2)x - 3 = 2                        Combine like terms

⇒ 4x - 3 = 2                                     Subtraction property

⇒ 4x - 3 + 3 = 2 + 3                         Addition property of equality

⇒ 4x = 5

⇒ 1/4 × 4x = 1/4 × 5                          Multiplication property of equality

⇒ x = 5/4

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Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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The integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x₂ - 3x and y = x about the horizontal line y = 6 is  2πx(6 - x² + 3x)dx, which is integrated from x=0 to x=3, which gives us   81π/2.

To find the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y=x² - 3x and y=x about the horizontal line y=6, we can use the method of cylindrical shells.

First, we need to find the limits of integration, The graphs of y = x² - 3x  and y=x intersect at x=0 and x=3. Therefore, we integrate from x=0 to x=3.

Next, we consider a vertical strip of width dx at a distance x from the y- boxes. the height of the strip is the difference between the height of the curve y=  x² - 3x and the line y=6, which is   6 - (x² - 3x) = 6 - x² + 3x. the circumference of the shell is 2π times the distance x from the y-axis, and the thickness of the shell is dx. the volume of the shell is the product of the height, circumference, and thickness which is

dV = 2πx(6 - x² + 3x)dx

To find the total volume, we integrate this expression from x=0 to x=3.

V = ∫₀³ 2πx(6 - x² + 3x)dx, after simplifying the integrand we get :

V = 2π ∫₀³ (6x - x³ + 3x²)dx, integrating term by term we get :

V = 2π [(3x²/2) - (x⁴/4) + (x^3)] from 0 to 3, now  evaluation at the limits of integration we get:

V = 2π [(3(3)²/2) - ((3)⁴/4) + (3)³] - 2π [(0)^2/2 - ((0)⁴/4) + (0)^3]=  2π [(27/2) - (27/4) + 27] - 0 = 81π/2

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer: 3

Step-by-step explanation:

Answer:

Take the picture you uploaded.

Click the rotate 'button' once.

Change the x to y and y to x on the graph. (axis labels)

Done

J (0, -1)

K(-4,-3)

I ( -4,-1)

The measure of angle 2 which  is 27°, from the given figure .

The angles of parallel lines can be stated as, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. we can say that, Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

here, we have,

Given that, l║m and QR perpendicular to ST at R.

Here, m∠1 =m∠QTR (Alternate interior angles are equal)

m∠QTR=63°

From triangle RQT,

m∠2+m∠QTR+m∠QRT=180° (Sum of interior angles of triangle is 180°)

⇒ m∠2+63°+90°=180°

⇒ m∠2+153°=180°

⇒ m∠2=180°-153°

⇒ m∠2=27°

Therefore, the measure of angle 2 from the given figure is 27°.

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Answer:

59.81 in all

Step-by-step explanation:

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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Answer:

$ 4.86

Step-by-step explanation:

Subtract 7.19 and 2.33

7.19-2.33=4.86