Order the numbers from least to greatest

The linear function for the given values can be written as: f(x) = -x/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of the equation of a straight line is:

y-y₁ = (y₂-y₁)/(x₂-x₁)*(x-x₁)

Given that,

f (-4)=2 and f (6)= -3

The linear function  = ?

we can consider input value as x and output value as y,

then the linear function can be estimated by using two point form of straight line.

y - 2 = (-3 - 2)/(6 - (-4))*(x - (-4))

y - 2 = -1/2 (x + 4)

y   =  - x/2 - 2 + 2

    =  - x/2

Hence, the linear function is f(x) = -x/2

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If p-hat is equal to 0.65, then the complement (q-hat) is equal to 0.35.

We must deduct p-hat from 1 to obtain the complement q-hat when p-hat is known. The complement is the probability that the event won't occur, which is the same as the likelihood of every other scenario that isn't the one we're interested in.

Take p-hat out of 1 to get:

q-hat = 1 - p-hat

The value of p-hat is 0.65, therefore replace it as follows:

q-hat = 1 - 0.65

Condense the phrase:

q-hat = 0.35

As a result, the complement q-hat is 0.35 if the p-hat is 0.65.

It's critical to keep in mind that the probabilities p-hat and q-hat are complimentary and always sum up to 1. The equation q-hat = 1 - p-hat can be used to quickly compute the other if the first is known.

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The f(g(x)) is equal to 72x^2+48x+9 and g(f(x)) is equal to 3x+22.

To provide an accurate answer, it's important to first understand what the question is asking for. From the given information, it appears that there are several different parts to this question, so I will address each one individually.
1. Finding f-1(x)
To find the inverse of f(x), we can switch the x and y values and solve for y.

\begin{align*}
f(x) &= 2x^2+5 \\
y &= 2x^2+5 \\
x &= 2y^2+5 \\
2y^2 &= x-5 \\
y &= \sqrt{\frac{x-5}{2}} \\
f^{-1}(x) &= \sqrt{\frac{x-5}{2}}
\end{align*}
Therefore, f-1(x) is equal to √((x-5)/2).

2. Determining fx domain and range
The domain of f(x) is all real numbers since there are no restrictions on the input value x. However, the range of f(x) is limited by the fact that 2x^2+5 is always greater than or equal to 5. Therefore, the range of f(x) is [5,∞).

3. Finding f(g(x)) and g(f(x))
To find f(g(x)), we first need to substitute g(x) into f(x) wherever x appears:
\begin{align*}
f(g(x)) &= 2(g(x))^2+5 \\
&= 2(6x+2)^2+5 \\
&= 72x^2+48x+9
\end{align*}
To find g(f(x)), we first need to substitute f(x) into g(x) wherever x appears:
\begin{align*}
g(f(x)) &= 6f(x)-2 \\
&= 6\left(\frac{1}{2}x+4\right)-2 \\
&= 3x+22
\end{align*}
Therefore, f(g(x)) is equal to 72x^2+48x+9 and g(f(x)) is equal to 3x+22.

4. Explaining f(x)=1/(x-9)
The function f(x)=1/(x-9) is a rational function with a vertical asymptote at x=9. This means that as x approaches 9 from either direction, the function values become increasingly large (either positive or negative infinity).
The domain of f(x) is all real numbers except for x=9 (since dividing by zero is undefined). The range of f(x) is all real numbers except for zero (since 1/0 is undefined).I hope this helps! Let me know if you have any further questions.

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The following function can be used to find b:

b= 7d

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

7 boxes per day

=> For d days , the number  boxes will be 7d

total number of boxes

b= 7d

when b=  3,500 ,

3500= 7d

=> d= 3500/7 = 500 days

The following function can be used to find b:

b= 7d

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The correct answer is for the equation is C, "minimizes the sum of the squared distances from the actual y-value to the predicted y-value," as explained below.

The least-squares regression line is a line that best fits the given data by minimizing the sum of the squared distances between the predicted y-value (ŷ) and the actual y-value (y) for each data point. In other words, the line is chosen so that the sum of the squares of the vertical distances between the data points and the line is as small as possible.

In this case, the equation provided represents the least-squares regression line for the given data, which suggests that for every unit increase in x, y increases by 0.5 units.

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The height of the plane is modeled by the linear equation:

height = 3000ft - 2000ft*t

If the rate at which the plane descends is constant, then the height is modeled by a linear equation.

We can write:

height = initial height - rate*time

We know that the initial height is 3000ft, and that the plane descends at ar ate of 2,000ft per minute, then we can write the linear equation:

height = 3000ft - 2000ft*t

Where t is the time in minutes.

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Complete question:

"an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute​, which will be the height of the plane after t minutes?"

The key shows that 1|1 represents the score 11.

The stem-and-leaf plot that depicts the data set accurately is as follows:

Season Points for the 2021 Riverside Red Dragon Football

0 | 0 3

1 | 0 1 7 7 7 7 7

2 | 0 0 2 4 8 8

3 | 1 3

Key: 1|1 = 11

The stems represent the tens digit and the leaves represent the ones digit in this stem-and-leaf plot, which accurately depicts the frequency of each score in the data set. For instance, the stem 2 and the leaves 0 and 0 indicate the two instances of the score 20, which appears twice. The score 11 is represented by the key as 1|1.

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The volume of the oblique cone is  5887.5 ft³.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

We know, The volume of an oblique cone is, (1/3)×B×h.

Where h = height and B = area of the base.

Here the area of the base is, π(15)² = 706.5 ft², and the height is 25 feet.

Therefore, The volume is,

= (1/3)×706.5×25.

= 5887.5 ft³

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Answer: practice 2.  8 inches   practice 3. 220[tex]ft^2[/tex]  

practice 4. 78° , 78° , 102° , 102 ° Practice 5. 12.5

Step-by-step explanation:

Answer:

5x4

Step-by-step explanation:

The dimensions of the rectangle are 20x16

The reducing factor is 0.25.

Multiple 20 * 0.25= 5

Multiple 16 * 0.25= 4

Therefore the new dimensions are 5x4.

(2,1) is a solution to the system of equations 8x+7y=11 and x+y=3.

Two or more expressions with an Equal sign is called as Equation.

To check if (2,1) is a solution to the system of equations:

8x + 7y = 11

x + y = 3

We substitute x = 2 and y = 1 into both equations:

For the first equation: 8(2) + 7(1) = 16 + 7 = 23

For the second equation: 2 + 1 = 3

Hence, we can see that both equations are true when x = 2 and y = 1.

Therefore, (2,1) is a solution to the system of equations.

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The height of the kite from the ground is 620.5 feet.

The angle of elevation from your hand to a kite is 65∘ and the distance from your hand to the kite is 287 feet.

Therefore, the height of the kite when your hand is 5 feet from the ground can be found as follows:

The situation forms a right angle triangle. Therefore, the height of the kite can be found using Pythagoras's theorem.

Hence,

tan 65 = opposite / adjacent

tan 65 = h / 287

cross multiply

h = 287 × tan 65

h = 615.473486186

Therefore,

height of the kite = 615.473486186 + 5

height of the kite = 620.5 feet

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We have the following response after answering the given question: To interest the nearest penny, the balance in the account after 12 years is thus $17,821.76.

To calculate simple interest, divide the principal by the interest rate, the duration, and other variables. The marketing formula is simple return = capital + interest + hours. The easiest way to calculate interest is with this approach. The most popular method for calculating interest is as a percentage of the principal amount. For instance, if he borrows $100 from a friend and agrees to pay it back at 5% interest, he will only pay his portion of the 100% interest. $100 (0.05) = $5. Interest must be paid when you borrow money and must be added to any loans you make. The yearly percentage of the loan amount is frequently used to calculate interest. This percentage represents the loan's interest rate.

Continuously compounded interest is calculated as follows:

[tex]V = Pe^(rt) (rt)[/tex]

where: V = the investment's final value

P is the original investment's principle.

r equals the yearly interest rate (as a decimal)

t is the duration of the investment, in years.

P = $8290, r = 0.06 (6% as a decimal), and t = 12 years in this example.

So, [tex]V = 8290e^(0.06*12) = $17,821.76[/tex]

To the nearest penny, the balance in the account after 12 years is thus $17,821.76.

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Answer:

Area of a triangle =L*W

A= 45*15

A=270cm²

The correct answer is a. A leading question.

A leading question is one that is designed to elicit a specific response or to influence the answer given by the respondent. In this case, the question is designed to lead the respondent to agree that they also liked the chocolate bar, as "most people" did. This type of question is often used in surveys and research studies to obtain desired results.

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Answer: Your welcome!

Step-by-step explanation:

This linear model tells us that, on average, for every additional square foot of area in a home, the selling price increases by 122.2 dollars. Therefore, this model suggests that the larger the area of a home, the higher the selling price of the home will be.

Answer:

Step-by-step explanation:

The coordinates of point L are (s/2, s√3/2). If we know the value of s, we can determine the specific coordinates of point L.

To determine the coordinates of point L in an equilateral triangle with vertices J and K, we first need to know the location of J and K.

Since the triangle is equilateral, the distance from J to K is the same as the distance from J to L or from K to L. Let's assume that the side length of the equilateral triangle is s. Then, the distance from J to K is also s. We can assume that J is located at the origin (0,0), and K is located at (s,0).

To find the coordinates of point L, we can use some trigonometry. Let's draw a line from point K to point L, and let the angle between this line and the x-axis be θ. Since the triangle is equilateral, this angle is 60 degrees.

The x-coordinate of point L is then given by s cos θ. Since cos 60 = 1/2, the x-coordinate of point L is s/2.

The y-coordinate of point L is given by s sin θ. Since sin 60 = √3/2, the y-coordinate of point L is s√3/2.

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Answer: 210 ( it hope this is a best answer)

Step-by-step explanation:

2 hours and 20 minutes is 2 and a third hours. Multiply 90 by 2 and a third.

90 × 2.333

209.999

If you round to the nearest kilometer, the answer is 210 km

Answer:

nonlinear

Step-by-step explanation:

If that's a fraction with an x on the bottom, it is non-linear.

Linear (graph is a line) has y = mx + b format or similar, with x having only a power of 1 (just plain x)

You get curves and other graphs when x is squared or higher exponent, or x inside a squareroot is also not a line. And, like your problem if x is on the bottom of a fraction it is nonlinear.

The difference between the two groups is likely due to chance and the two groups likely have the same mean.

To conduct the appropriate test of significance for a research situation, you must first identify whether you need to use a one-tailed or two-tailed test. A one-tailed test is used when you are looking to see if the mean of one group is greater or less than the mean of another group. A two-tailed test is used when you are testing the null hypothesis that the two groups have the same mean.

Once you have identified the type of test, you must determine if it is a one or two sample test. A one sample test is used when you are comparing the mean of one group to a known population mean, whereas a two sample test is used when you are comparing the means of two separate groups.

Next, you must select the appropriate alpha level. Alpha levels are a measure of the significance of the test and refer to the probability of rejecting the null hypothesis when it is actually true. Generally, an alpha level of 0.05 is used in research settings.

Once you have selected the appropriate test and alpha level, you can make a decision about the test significance. This is done by comparing the calculated test statistic to the critical value in the test statistic table. If the calculated test statistic is larger than the critical value, the test is statistically significant and the null hypothesis can be rejected. If the calculated test statistic is smaller than the critical value, the test is not statistically significant and the null hypothesis cannot be rejected.

Finally, you must interpret the results of the test. If the test is statistically significant, it means that the difference between the groups is not likely due to chance, and therefore the two groups are likely to have different means. If the test is not statistically significant, it means that the difference between the two groups is likely due to chance and the two groups likely have the same mean.

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The value of m and n is 5√2 and 5 respectively.

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to Pythagoras' Theorem.

A right-angled triangle.

A 45° angle is found in a triangle.

The triangle is therefore a right-angled isosceles triangle.

Hence, n = 5.

To find m:

Apply Pythagoras' theorem,

m = √{n² + 5²}

m = √(25 + 25)

m = √50

m = 5√2

Therefore, m = 5√2.

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To find the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. The formula for the Pythagorean theorem is:
c^2 = a^2 + b^2
Where c is the hypotenuse, and a and b are the other two sides of the triangle.

In this case, we are given the lengths of the two legs of the triangle, 11 inches and 24 inches.
We can plug these values into the formula and solve for the hypotenuse:
c^2 = 11^2 + 24^2
c^2 = 121 + 576
c^2 = 697
c = √697
c ≈ 26.4 inches

Therefore, the hypotenuse of the triangle is approximately 26.4 inches.

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The equilibrium quantity line (at the pοint 3 οn the quantity axis) is knοwn as the ‘surplus’.

Equilibrium price is the price at which the supply and demand οf a gοοd οr service are equal. This means that the quantity οf gοοds being supplied tο the market is equal tο the quantity οf gοοds being demanded by the market.

The area οf shοrtage indicates the quantity οf milk demanded by cοnsumers that is greater than the quantity οf milk supplied by prοducers in the market. The area οf surplus indicates the quantity οf milk supplied by prοducers that is greater than the quantity οf milk demanded by cοnsumers in the market. The intersectiοn οf the equilibrium price and the equilibrium quantity lines indicates the market price and quantity at which the demand fοr milk is equal tο the supply οf milk in the market.

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Answer:

(a) Since Zul's password consists of 4 digits and the first three digits are 970, there is only one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/10.

(b) If there are three 1s in the password, there is only one possible arrangement for the other digit. There are four places where the other digit can be placed, so there are four possible passwords. Thus, the probability to unlock the screen in one attempt is 4/10^4, which simplifies to 1/2500.

(c) If the last two digits are 00, there is only one possible arrangement for the first two digits. There are ten possible digits for the third digit and one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/(101010*1), which simplifies to 1/1000.

The solution set in interval notation, 19(7 − x) ≥ 88 − 14x, is (-∞, 9]

To solve the inequality 19(7 - x) ≥ 88 - 14x, we will first distribute the 19 on the left side of the inequality and then combine like terms to isolate the variable x.

19(7 - x) ≥ 88 - 14x
133 - 19x ≥ 88 - 14x
-5x ≥ -45
x ≤ 9

Now, we can write the solution set in interval notation. Interval notation uses brackets or parentheses to indicate the endpoints of an interval. Brackets indicate that the endpoint is included in the interval, while parentheses indicate that the endpoint is not included.

Since x is less than or equal to 9, the solution set in interval notation is (-∞, 9]. This means that any value of x less than or equal to 9 will satisfy the inequality.

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a) The sales 2 months after the end of the campaign will be $29,600. b)  it will take 10 months (round up to the nearest whole number) for sales to drop below $1,000, if no new campaign is initiated.

The sales 2 months after the end of the campaign can be found by plugging x = 2 into the equation:
S = 80,000e-0.5x
S = 80,000e-0.5*2
S = 80,000e-1
S = 80,000 * 0.37
S = 29,600

Therefore, the sales 2 months after the end of the campaign will be $29,600.

We can solve this by setting the equation equal to 1000 and solving for x:
1000 = 80,000e-0.5x
1000/80,000 = e-0.5x
0.0125 = e-0.5x
ln(0.0125) = ln(e-0.5x)
-4.81 = -0.5x
x = 9.62

Therefore, it will take 10 months (round up to the nearest whole number) for sales to drop below $1,000, if no new campaign is initiated.

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The value of the expression −16 + 12 is −4.  

Subtraction is a basic arithmetic operation that involves finding the difference between two numbers. It is denoted by the minus sign (-) and is performed by subtracting the second number from the first number.

We can subtract fractions, decimals, and negative numbers by following the same principles of subtraction.

Here we have

The numerical expression −16 + 12    

As we know

12 is 4 greater than 16 and 16 has a negative sign

Therefore,

The value of the expression −16 + 12 is −4.  

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Mr stove's final balance after 10 years if he invested 1500 on a bank account that would give him 3. 7% compounded monthly is $2,170.37

A = P(1 + r/n)^nt

Where

P = $1500

r = 3.7% = 0.037

n = monthly = 12

t = 10 years

So,

A = P(1 + r/n)^nt

A = 1,500.00(1 + 0.037/12)^(12×10)

A = 1,500.00(1 + 0.0030833333333333)¹²⁰

A = $2,170.37

Ultimately, Mr stove will have $2,170.37 as his balance after 10 years.

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