The imagine below is the question.
A Function, h(x) is defined as shown

Answer: 14/28, or 1/2

explanation:

14/28 total students drink milk in general, meaning that the remainder drink orange juice. This leaves us with 14/28 students that drink orange juice, which can be reduced to 1/2.

I hope this helped! ^_^

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To learn more about limit of the sequence visit:

brainly.com/question/30647793

#SPJ11

The correct answer to the space left  is **C**.

To find the remaining space in the landfill when t = 1, we can substitute t = 1 into the function F(t) = 230 - 30log5(41 + 1):

F(1) = 230 - 30log5(42)

To calculate the value, let's first evaluate the term inside the logarithm:

41 + 1 = 42

Next, we calculate the logarithm base 5 of 42:

log5(42) ≈ 1.537

Now, substitute the value of log5(42) into the equation:

F(1) = 230 - 30(1.537)

= 230 - 46.11

≈ 183.89

Therefore, when t = 1, there is approximately 183.89 units of space left in the landfill.

The closest option is C. 200.

The rate of change refers to how a quantity or variable changes with respect to another variable. It measures the amount of change that occurs in a dependent variable per unit change in an independent variable.

In the context of the given problem, the rate of change may refer to how the space in a landfill is decreasing over time. The function F(t) = 230 - 30log5(41+1) represents the amount of space remaining in the landfill at a given time t, measured in years.

learn more about landfill

https://brainly.com/question/31565051

#SPJ11

In regression analysis , the error term ε is a random variable with expected value of 0.

What is regression analysis?

A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.

Main Body:

In regression analysis, the model in the form is called regression model.

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.

So the answer  to error term is 0.

To learn more about regression analysis click on the link below

https://brainly.com/question/28178214

#SPJ4

The value of x would be 5 for the model 2x+4.

Rearrange unknown terms to the left side of the equation,
\(= > 2x-3x = -1 - 4\)

Combine like terms\(= -x = -1-4\)

By calculating the sum or difference : -x = -5

Lets divide both sides of the equation by the resulting coefficient 5
So x = 5

#SPJ10

Learn more about algebra equations refer:

https://brainly.in/question/7037012

The outstanding balance on the invoice is $47,000. Ralph Corp. received an invoice dated September 9 for $50,000 with terms of 3/10, n/30.

On September 16, Ralph mailed a partial payment of $3,000, leaving a remaining balance of $47,000.

The terms of 3/10, n/30 mean that the buyer (Ralph Corp.) is entitled to a discount of 3% if the payment is made within 10 days of the invoice date, and the full payment is due within 30 days without any discount.

Since Ralph Corp. made a partial payment of $3,000 on September 16, which is within the 10-day discount period, this amount qualifies for the discount. The discount can be calculated as 3% of $50,000, which equals $1,500. Therefore, the effective payment made by Ralph Corp. is $3,000 - $1,500 = $1,500.

To determine the outstanding balance, we subtract the effective payment from the original invoice amount: $50,000 - $1,500 = $47,000. Thus, the outstanding balance on the invoice is $47,000, indicating the remaining amount that Ralph Corp. needs to pay within the designated 30-day period.

Learn more about  determine here

brainly.com/question/29898039

#SPJ11

(a) The cost of 1 kg of turnips is £71.95, and

(b) The cost of 1 kg of mushrooms is £89.50.

To solve this problem, let's assign variables to the unknowns.

Let the cost of 1 kg of mushrooms be 'm' and the cost of 1 kg of turnips be 't'.

According to the given information:

Equation 1: 2m + 2.5t = 8.55

Equation 2: 3m + 4t = 13.10

We can solve these equations simultaneously to find the values of 'm' and 't'.

To eliminate the decimals, let's multiply both sides of Equation 1 by 10 and Equation 2 by 20:

20m + 25t = 85.50

60m + 80t = 262.00

Now, let's multiply Equation 1 by 12 and subtract Equation 2 multiplied by 5:

240m + 300t - (60m + 80t) = 1026.00 - 1310.00

180m + 220t = -284.00

We have a new equation:

180m + 220t = -284.00 ---(3)

Next, let's multiply Equation 1 by 18 and subtract Equation 2 multiplied by 4:

36m + 45t - (60m + 80t) = 154.35 - 524.00

-24m - 35t = -369.65

We have another new equation:

-24m - 35t = -369.65 ---(4)

Now, we have a system of linear equations with two variables. Let's solve this system by eliminating one variable.

Multiply Equation 3 by 35 and Equation 4 by 220:

6300m + 7700t = -9940.00 ---(5)

-5280m - 7700t = -81323.00 ---(6)

Adding Equations 5 and 6, we eliminate 't':

1020m = -91263.00

m = -91263.00/1020

m = -89.50

Substituting the value of 'm' back into Equation 3:

180(-89.50) + 220t = -284.00

-16110 + 220t = -284.00

220t = -284.00 + 16110

220t = 15826.00

t = 15826.00/220

t = 71.95.

For similar question on linear equations.

https://brainly.com/question/25858757

#SPJ11

Answer:

About  1.01$ - 1.02$

Step-by-step explanation:

Answer:

$1.02

Step-by-step explanation:

16 divided by 15.75 is $1.02 (rounded)

Answer:

y > 4x - 2

Step-by-step explanation:

The basic format of a line in slope-intercept form is,

\(y=mx+b\)

This format undergoes no change when one implements it for the use of a two-variable inequality.

The parameter (m) represents the slope of a line, this can be found by using the formula (\(\frac{rise}{run}\)). Traditionally, one would use a formula to find the slope of a line that is the following, (\(\frac{y_2-y_1}{x_2-x_1}\)). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).

The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).

Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.

Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.

Answer:

x = 12

Step-by-step explanation:

Equation:    0.52(x) + 0.72(4) = 0.57(x + 4)

0.52(x) + 0.72(4) = 0.57(x + 4)             \(\longmapsto\)         Multiply

0.52x + 2.88 = 0.57x + 2.28               \(\longmapsto\)         Subtract 0.52x from both sides

2.88 = 0.05x + 2.28                            \(\longmapsto\)         Subtract 2.28 from both sides

0.6 = 0.05x                                          \(\longmapsto\)        Divide all sides by 0.05

x = 12

-Chetan K

We are given a random variable X representing the length of time (in years) that a laptop lasts. The probability density function (PDF) of X is given by f(x) = 1/(6√x).

The probability density function (PDF) describes the likelihood of different values of a continuous random variable. In this case, the PDF of X is given as f(x) = 1/(6√x).

To understand the PDF, we need to consider its properties. First, note that the PDF is only defined for x ≥ 0, as the square root term requires non-negative values. Second, the PDF is always positive for valid values of x, indicating that the probability density is non-zero for all possible values of X.

The function f(x) = 1/(6√x) is a decreasing function of x. As x increases, the denominator √x also increases, leading to smaller values of f(x). This implies that the probability density decreases as the length of time (x) increases, which is reasonable since it is less likely for a laptop to last for a longer period.

The PDF can be used to calculate probabilities and expected values associated with the random variable X. For example, to find the probability that the laptop lasts between a and b years, we can integrate the PDF over the interval [a, b]. The expected value of X, denoted as E(X), can be calculated by integrating x·f(x) over all possible values of x.

Overall, the PDF f(x) = 1/(6√x) provides a mathematical description of the probability distribution of the length of time that a laptop lasts, capturing the decreasing likelihood as the lifespan increases.

Learn more about probabilities here:

https://brainly.com/question/32117953

#SPJ11

Answer:

The unit is unit square or we can also find a by replacing pi by 3.1. 4 point so this equals 2 times of 3.14 and this equals 6.28. This is a unit square, and so the exact area of semicircle is 2 pi unit square or in terms of decimals. It is 6.28 unit square.

Answer:

6.28

Step-by-step explanation:

No, 9 12 15 is not a right triangle because it does not satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side.

No, 9 12 15 is not a right triangle because it does not satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side. The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side. In the case of 9 12 15, the square of the longest side is 225 and the sum of the squares of the two shorter sides is 81 + 144 = 225. Since the two values do not match, 9 12 15 is not a right triangle. Furthermore, the angles of a right triangle must measure 90°, and since the angles of 9 12 15 cannot be determined from the given information, it is not possible to determine whether it is a right triangle.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The value of the angle subtended by sector XY is determined as 137⁰.

The value of the angle subtended by the arc is calculated by applying the formula for length of an arc as shown below;

The formula for the length of an arc is given as;

L = 2πr (θ/360)

where;

The length of the arc is given as 18 in, and the radius of the arc is given as 7.54 in.

L = 2πr (θ/360)

θ/360 = L/2πr

θ = 360 x ( L /2πr)

θ = 360 x ( 18 ) / (2π x 7.54)

θ = ( 360 x 18 ) / (2π x 7.54)

θ = 136.8⁰ ≈ 137⁰

Learn more about angle of a sector here: https://brainly.com/question/30507760

#SPJ1

The complete question is below:

Find the angle subtended by the sector XY.

Answer:

Step-by-step explanation:

This is called "solving an inequality".

The inequality can flip:

< becomes >

> becomes <

≤ becomes ≥

≥ becomes ≤

This only happens when we multiply or divide both sides by a negative number, or when we swap everything from either sides.

The thing to remember if there are two of the inequalities, we have to do everything to both sides. The goal stays the same. Get the "X" by itself in the middle.

-17 < 5 - 2x <= 9

-5    -5            -5

------------------------

-22 < -2x <= 4

Now we have to divide the -2 on both sides. Remember! Dividing by a negative means we have to FLIP THE SIGNS!

-22 < -2x <= 4

/-2        /-2      /-2

----------------------

11 > x >= -2

And your final answer would be that.

It can also be written this way:

-2 <= x < 11

Answer:

11 > x >= -2

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

The probability that a trip will be to either Nassau or Paris is 0.2 or 20%.

Given, a travel agency is giving away a free trip as part of a grand opening.

The trip will be to one of the ten locations listed. The 10 locations are London, Paris, Rome, Sydney, Athens, Nassau, Hong Kong, Madrid, Tokyo, and Rio De Janeiro.

To find the probability, we need to find how many outcomes are favorable to the event "the trip is to Nassau or Paris" and divide by the total number of possible outcomes.

So, favorable outcomes = 2 (Nassau, Paris)

Total possible outcomes = 10

Probability = (Favorable outcomes)/(Total possible outcomes)= 2/10= 0.2 or 20%.

Therefore, the probability that a trip will be to either Nassau or Paris is 0.2 or 20%.

To learn more about Probability visit:

https://brainly.in/question/34187875

#SPJ1

To solve the equation log x = -1.8, we'll first convert it to exponential form using the properties of logarithms.

Step 1: Understand the base of the logarithm.
Since no base is specified, we assume it is base 10 (common logarithm).

Step 2: Convert the logarithmic equation to an exponential equation.
Using the properties of logarithms, we can rewrite the equation as:
10^(-1.8) = x

Step 3: Calculate the value of x.
Using a calculator, find the value of 10^(-1.8):
x ≈ 0.015848

Step 4: Round the answer to three decimal places.
x ≈ 0.016

So, when solving the equation log x = -1.8, we find that x ≈ 0.016 when rounded to three decimal places.

To learn more about Logarithmic Equation : https://brainly.com/question/28596259

#SPJ11

Answer:

∠V = 33°

∠W = 90°

∠X = 57°

Step-by-step explanation:

In a right triangle, the sum of the acute angles is 90 degrees

(2x+3) + (3x+12) = 90

combine like terms

5x + 15 = 90

5x = 75

x = 15

∠V = 2x+3, x=15

2(15) + 3

30 + 3

33°

∠X = 3x+12, x=15

3(15) + 12

45 + 12

57°

Answer:

\(w=\frac{3}{2} ,-1\)

Step-by-step explanation:

\(3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\\)

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

\(4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}\)

and the other case

\(4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1\)

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

Learn more about orthogonal matrix on https://brainly.com/question/31053015

#SPJ4

Answer:

30

25

15

10

5

0

-5

-10

Step-by-step explanation:

It seems like -2 is temperature!

✩brainliest appreciated✩

Answer:

Use Symbolab i think thats how you spell it

Step-by-step explanation:

Answer:

3.4

Step-by-step explanation:

The volume of the triangular prism = base area x height

Since its base is a right triangle, then

From the figure leg1 = 6 ft and leg2 = 8 ft

Now multiply it by the height of the prism

Since its height = 12 ft, then

The answer is A

Answer:

\(\displaystyle y=\frac{4}{5}x+\frac{13}{5}\)

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The points are (3,5) and (-2,1):

\(\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}\)

The equation is now:

\(\displaystyle y=\frac{4}{5}x+b\)

To calculate b, we use any of the given points and solve for b. Use (3,5):

\(\displaystyle 5=\frac{4}{5}3+b\)

Operate:

\(\displaystyle 5=\frac{12}{5}+b\)

Solve:

\(\displaystyle b=5-\frac{12}{5}=\frac{13}{5}\)

The required equation of the line is:

\(\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}\)

To determine statistical significance, the probability of making a type I error depends on the criterion that is used to accept or reject the null hypothesis. This criterion is known as the alpha.

A Type I error is a type of error in which the null hypothesis is rejected when it is actually true. It reflects concluding that results are statistically significant when, in actuality, they came about purely by chance or because of unrelated factors. The risk of committing the type I error is the significance level (alpha ) you choose.

An alpha value of 0.05 indicates that you can accept a 5% chance that you are wrong when you reject the null hypothesis.

You can learn more about Type I error at

https://brainly.com/question/28166129

#SPJ4

Answer:

Please provide a question to be answered.