the question is long so I will send a pic lol <3

Answer:

-1

Step-by-step explanation:

The 3 in the domain points to the -1 in the range

Thus, the value of x for the given output of the function f(x) = 1 is found as: x = -1.

A function is a mathematical construct that receives an input, processes it according to a rule, and then outputs the outcome.

Given that:

Put f(x) = 1 in the given function to find x.

f (x) = - 5x - 4

1 = - 5x - 4

Isolating the x

-5x = 1 + 4

-5x = 5

x = 5/ -5

x = -1

Thus, the value of x for the given output of the function f(x) = 1 is found as: x = -1.

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

Step-by-step explanation:

Given that f(x) is continuous, ∫ −2

2

​

f(x)dx=7,∫ 0

4

​

f(x)dx=−3, and ∫ −2

4

​

f(x)dx=2. Then ∫ 0

2

​

f(x)dx= A. 0 B. 2 C. −3 D. 4 E. −6

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer:

0.3656

Step-by-step explanation:

0.3656

I hope it's helped

Answer:

yes, true

Step-by-step explanation:

Answer:

the answer is true because they dont intersect

Step-by-step explanation:

Answer:

2.43

Step-by-step explanation:7.00 / 2.88 rounded to the nearest tenth (cents) is 2.43

If each of the 100 people is asked to give one preference ballot for one of the five beverage choices, then the winner of the election will be the beverage with the most votes.

We have,

To determine the winner, we need to count the number of ballots for each choice and compare them.

For example, if we count 30 ballots for Coke, 20 for Diet Coke, 15 for Truly, 10 for Wine, and 25 for Beer, then the winner would be Beer, with 25 votes.

If there is a tie between two or more choices, we would need to have a run-off election or some other method to determine the winner.

Thus,

If each of the 100 people is asked to give one preference ballot for one of the five beverage choices, then the winner of the election will be the beverage with the most votes.

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To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.

First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:

Z = (X - μ) / (σ / √n)

Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)

Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.

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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.

To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.

Let's assume the sample standard deviation is $5,000.

First, we calculate the z-score:
    \(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5

Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.

Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.

In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

1.366km

Step-by-step explanation:

The height of the mountain is \(3.34Km\)

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            \(tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)\)

Apply tan function in triangle ABP.

           \(tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)\)

Substituting the value of equation 2 into equation 1.

      \(H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km\)

Hence, The height of the mountain is \(3.34Km\)

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Answer:

-1 1/6, -2/3, -1/6, 1/2

Step-by-step explanation:

The final answer

Answer:

700,000+ 8+20+ 40,000

Step-by-step explanation:

All you needed to do was line them up and find the missing value. Or add all of the given numbers and subract the answer. Quite simple actually

Answer:

700,000+40,000+ 20+8= 740,028

20 is the missing number

Answer:

Y = 7X + 2

Step-by-step explanation:

Y = mx + b .... slope intercept form of a line.

m - Slope

b = Y - intercept.

The differential of the function f(x) = 1/x^2 is given by df = (-2/x^3)dx.

The differential of the function f(x) = 1/x^2 can be found by taking the derivative of the function with respect to x and multiplying it by dx.

The derivative of f(x) = 1/x^2 can be computed using the power rule for differentiation. The power rule states that if we have a function of the form f(x) = x^n, then the derivative of f(x) with respect to x is given by f'(x) = nx^(n-1).

Applying the power rule to f(x) = 1/x^2, we get f'(x) = (-2)x^(-2-1) = -2/x^3.

To find the differential, we multiply the derivative f'(x) = -2/x^3 by dx, which gives us the differential df = (-2/x^3)dx.

Therefore, the differential of the function f(x) = 1/x^2 is df = (-2/x^3)dx.

IThis means that a small change in the variable x (dx) will result in a corresponding change in the function value (df) according to the formula (-2/x^3)dx. The differential provides a linear approximation of the function near a given point, allowing us to estimate how the function changes with small variations in the input variable.

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The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.

c²= a² + b² - 2ab cos(C)

In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:

15² = 6² + 15² - 2(6)(15)cos(x)

225 = 261 - 180cos(x)

180cos(x) = 36

cos(x) =\(\frac{36}{180}\)

cos(x) = 0.2

Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:

x = \(cos^{-1}\)(0.2)

x ≈ 78.46 degrees

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.

Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.

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Step-by-step explanation:

It is a square so the sides are all equal

area = side  X side

      =   6 mm  X 6 mm = 36 mm^2

Answer:Just click on the lines that it tells you to do and that should be your answer... I know that wasn't very helpful but I'm not to positive about my answer or what it is.

Step-by-step explanation:

Answer:

\(x_{n} = x_{(n-1)} -6\)

Step-by-step explanation:

b/c

Answer: aₙ=-14-6n

Step-by-step explanation:

the common difference is :

d=-26-(-20)=-6

the nth term is aₙ=a₁+(n-1)d

a₁= -20

aₙ= -20+(n-1)(-6)

aₙ=-20-6n+6=-14-6n

Answer:

[B] \(y=log_3x\)

Step-by-step explanation:

Given:

\(y=3^x\)

Exchange the variables:

\(x=3^y\)

Putting the variable y on the left side of the equation:

\(3^y=x\)

Applying the logarithm properties:

\(y=log_3(x)\)

Thus,

\(f^-^1=log_3(x)\)

Hence, the answer is [B] \(y=log_3x\)

~lenvy~

Answer:

x=6/5

Step-by-step explanation:

x-4=6x-10

-5x=-6

x=6/5

y=6/5-4=-14/5

Answer:

x = 1.2

y = -2.8

Step-by-step explanation:

y = x - 4 and y = 6x - 10

so x - 4 = 6x - 10

x - 6x = 4 - 10

-5x = -6

x = -6/-5

x = 1.2

y = x - 4 = 1.2 - 4 = -2.8

Answer: D

Step-by-step explanation:

(5) = 4(6) - 19

5= 24-19

5= 5

TRUE

(5) = -3(6) + 23

5 = -18 + 23

5=5

TRUE

Answer:

\(y = 4x - 19 \\ y = - 3x + 23 \\ \\ 4x - 19 = - 3x + 23 \\ 4x + 3x = 23 + 19 \\ 7x = 42 \\ x = 6 \\ \\ y = 4x - 19 \\ y = 4(6) - 19 \\ y = 24 - 19 \\ y = 5 \\ \\ (6.5)\)

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The table that shows the probability distribution when one card from each stack is drawn is Table 3.

There are a total of 4 × 5 = 20 possible outcomes when one card is drawn from each stack. We can list all the possible outcomes:

Blue-blue

Blue-purple

Blue-green

Blue-purple

Blue-orange

Green-blue

Green-purple

Green-green

Green-purple

Green-orange

Red-blue

Red-purple

Red-green

Red-purple

Red-orange

Orange-blue

Orange-purple

Orange-green

Orange-purple

Orange-orange

Out of these 20 outcomes, there are 4 outcomes where the two cards match in color (blue-blue, green-green, purple-purple, and orange-orange).

Therefore, the probability distribution when one card from each stack is drawn is:

P(matching color) = 4/20

P(different colors) = 16/20

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Answer:

Step-by-step explanation:

Use a grid to show the sample space.

              blue  green red orange

blue   BB BG BR BO

purple PB PG PR PO

green GB GG GR GO

purple PB PG PR PO

orange OB OG OR 00

There are 20 possible outcomes. The probability of each color combination is the number of times that combination occurs in the grid divided by 20. Find the probability of each combination and list the probabilities in a table to show the probability distribution.

outcome   BB BG BR BO PB PG PR PO GG GR GO OR OO

probability 1 1 1 1 1 1 1 1 1 1 1 1 1

                 20 10 20 10 10 10 10 10 20 20 10 20 20

None of the given equations gives the correct answer, the answer is none of the options.

The equation from the calculation is:

y = 375(0.9834)ˣ

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=". Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

The data gives the relation between time and temperature.

We are asked to find the time and temperature relation as an equation.

We are given five equations as options.

a) T(x) = 375(0.5)ˣ

x is time and T is temperature.

Now we will give the value of x = 10 in this equation.

T(10) = 375 * 0.5¹⁰ = 0.366

This is not the value given in the table.

So this is not the equation.

b) T(x) = -50x + 375

  T(10) = -50 * 10 + 375 = -500 + 375 = -125

This is not the equation.

c) T(x) = -25x² + 375

   T(10) = -25 * 10 * 1 0 + 375 = -2500 +375 = -2125

This is not the equation.

d) T(x) = 50x - 375

   T(10) = 50 * 10 - 375 = 500 - 375 = 125

This is not the equation.

e) T(x) = 25x² -75x + 375

  T(10) = 25 * 10 * 1 0 -75 * 10 + 375 = 2500 -750 +375 = 2125

The general form of the exponential equation is:

y = abˣ

375 = ab⁰= a

325 = ab¹⁰

275 = ab²⁰

275/325 = b¹⁰

b = 0.9834

So the equation for this data is:

y = 375(0.9834)ˣ

Since none of the given equations gives the correct answer, the answer is none of the options.

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Answer: The reflection is across x = 6.

Step-by-step explanation:

As you look at the reflection, you can see there is a shadowing with the two points on this graph. Point X1 is on (6, -1) and Point X is on (6, -7)

When looking at the graph, you can easily eliminate the x-axis and y-axis for an answer is because neither Point X1 nor Point X has a relationship to the axis.

Since the coordinates are precisely 6 units from each other, there is a reflection across x = 6.

Therefore, the reflection is across x = 6. Hope this helps!

-From a 5th Grade Honors Student

Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a