1. Which of the following describes the end behavior of the function ƒ(x) = x^4 + 3x^3 – 2x + 7?

the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

The value of x is 52.5981

The given equation is:

In(x + 2) = 4

Taking log on the right hand side of the equation, we get

x + 2 = \(e^{4}\)

The value of \(e^{4}\) is 54.59815

⇒ x + 2 = 54.59815

Subtract 2 on both the sides of the equation

⇒ x = 54.59815 - 2

⇒ x = 52.59815

Rounding 52.59815 to 4 places, we get

⇒ x = 52.5981

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Answer:

\( = 6 \div \frac{1}{7} \\ = 6 \times \frac{7}{1} \\ = 42 \: glasses\)

Answer:

same thing as the person show u

Step-by-step explanation:

i do flvs ok du and that is the right anser

The remainder is the amount left that doesn't entirely go into the divisor.

The remainder when m+26 is divided by 7 is 4.

We know that when m is divided by 7, the remainder is 4. This means that m can be written in the form:

m = 7k + 4

where k is some integer.

We also know that m + 26 is divided by 7, so we can write:

(m + 26) = 7n

where n is some integer.

Substituting the expression for m in terms of k into the second equation, we get:

(7k + 4 + 26) = 7n

Simplifying this equation, we get:

7k + 30 = 7n

Dividing both sides by 7, we get:

k + 4 = n

This means that n is 4 more than some integer k, which tells us that when (m + 26) is divided by 7, the remainder will also be 4.

Therefore, the remainder when m+26 is divided by 7 is 4.

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Answer: 4

Step-by-step explanation: because he needs to divided by 2

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The smallest number by which to divide 6075 to make it a perfect square is 3

From the question, we are to determine the smallest number by which to divide the given number to make is a perfect square

The given number is 6075

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. That is, a number that can expressed as n², where n is an integer.

The given number cannot be divided by 2 without given a remainder.

Divide the given number by 3

6075 / 3 = 2025

NOTE:

2025 = 45 × 45 = 45²

Thus, 2025  is a perfect square

Hence, the smallest number by which to divide 6075 to make it a perfect square is 3

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Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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Answer:

  y = 2

Step-by-step explanation:

PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)

Then you can write ...

  53y -16 = 90

  53y = 106 . . . . . add 16

  y = 106/53 = 2 . . . . divide by the coefficient of y

y = 2

Answer:

vamo a hablar ingles dhdhhdhdhdbeixhddh

Answer:

2

Step-by-step explanation:

1+1=2

Answer: there are really too many options...

Step-by-step explanation:

If you just want to keep it in simplest fraction form, the negatives cancel, giving you 8/3

But if you want to make it a mixed number, the negatives still cancel and since three goes into eight twice, with two leftover, you get 2 2/3

But if you want to make it a decimal, eight divided by three gives you 2.6666 repeating

Hope I helped! If I did, hopefully you don't mind marking me the brainliest...?

Answer:

The answer is a^6 b^18

Step-by-step explanation:

Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

178

Step-by-step explanation:

area of big rectangle : 143

area of small rectangle:20

area of triangle : 15

143+20+15= 178

Answer:

5 bottles of water.

Step-by-step explanation:

Convert 1/4 into 0.25

Multiply 20 to 0.25

20*.25 = 5

Answer: 5

Step-by-step explanation: there is none

We can explicitly find the inverse. If \(f^{-1}(x)\) is the inverse of \(f(x)\), then

\(f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x\)

Solve for the inverse :

\(\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x\)

\(\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x\)

\(1 - \dfrac4{f^{-1}(x) + 6} = x\)

\(1 - x = \dfrac4{f^{-1}(x) + 6}\)

\(f^{-1}(x) + 6 = \dfrac4{1-x}\)

\(\implies f^{-1}(x) = \dfrac4{1-x} - 6\)

Then when x = -6, we have

\(f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}\)

Alternatively, we can first solve for x such that \(f(x) = -6\). Then taking the inverse of both sides, \(x = f^{-1}(-6)\). (The difference in this method is that we don't compute the inverse for all x.)

We have

\(\dfrac{x+2}{x+6} = -6\)

\(x + 2 = -6 (x + 6)\)

\(x + 2 = -6x - 36\)

\(7x = -38\)

\(\implies x = \boxed{-\dfrac{38}7}\)

SOLUTION:

If a marble is chosen at random and we are told the marble is red what is the probability that has the number 2 on it;

We have only one red marble out of eight red marbles that have number two on it.

(b) If the first marble is replaced, and another marble is chosen at random if we are told that the marble has number 1 on it, what is the probability that the marble is red;

We have two marbles having 1 (i.e one blue and one red)

r

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

6 boxes of spaghetti ==> 20 people

50 people

boxes = ?

Step 02:

The answer is:

Thiago should make 15 boxes .

Answer:

Store a $90.30

Store B is $87.75

store B is the cheapest

Step-by-step explanation:

Just subtract 129.0 by 35% and 135.0 by 35%

Store a $90.30

Store B is $87.75

store B is the cheapest

Step-by-step explanation:

Just subtract 129.0 by 35% and 135.0 by 35%

Answer:

b. yes type II error

Step-by-step explanation:

When the null hypothesis is false as is in this case and it is accepted so the decision made is wrong. This is a type II error.

When we accept the null hypothesis when actually it is false it is called a type II error.

In reality, the mean number of shades the toothpaste that whitens the teeth is three shades.

Where as the null hypothesis was that the four shades  are taken as the mean number of shades the toothpaste whitens the teeth.

Therefore as the null hypothesis which is actually false is accepted so a wrong decision is made a type II error is made.

The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.

The length is the quantitative measurement of a distance from one point to another position.

Length can also refer to the size of an object that has width or/and height.

The square of 2,200m² = 46.9 meters (√2,200)

The square of 2,400m² = 48.99 meters (√2,400)

The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.

Thus, the possible value of the side length of the plot of land is A. 48 meters.

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A. 48 meters

B. 46 meters

C. 44 meters

D. 50 meters

Answer:

Step-by-step explanation:

y=-2x

60=-2x

-60=2x

-30=x

Answer:

The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.

Step-by-step explanation:

Geometrically speaking, the volume of the rectangular box (\(V\)), in cubic feet, is represented by this formula:

\(V = l^{2}\cdot h\) (1)

Where:

\(l\) - Side length of the box, in feet.

\(h\) - Height of the box, in feet.

In addition, the total cost of the box (\(C\)), in monetary units, is defined by this formula:

\(C = (c_{b}+c_{t})\cdot l^{2} + 4\cdot c_{s}\cdot l\cdot h\) (2)

Where:

\(c_{b}\) - Unit cost of the base of the box, in monetary units per square foot.

\(c_{t}\) - Unit cost of the top of the box, in monetary units per square foot.

\(c_{s}\) - Unit cost of the side of the box, in monetary units per square foot.

By (1), we clear \(h\) into the expression:

\(h = \frac{V}{l^{2}}\)

And we expand (2) and simplify the resulting expression:

\(C = (c_{b}+c_{t})\cdot l^{2}+4\cdot c_{s}\cdot \left(\frac{V}{l} \right)\) (3)

If we know that \(c_{b} = 0.34\,\frac{m.u.}{ft^{2}}\), \(c_{s} = 0.05\,\frac{m.u.}{ft^{2}}\), \(c_{t} = 0.16\,\frac{m.u.}{ft^{2}}\) and \(V = 40\,ft^{3}\), then we have the resulting expression and find the critical values associated with the side length of the base:

\(C = 0.5\cdot l^{2} + \frac{8}{l}\)

The first and second derivatives of this expression are, respectively:

\(C' = l -\frac{8}{l^{2}}\) (4)

\(C'' = 1 + \frac{16}{l^{3}}\) (5)

After equalizing (4) to zero, we solve for \(l\): (First Derivative Test)

\(l-\frac{8}{l^{2}} = 0\)

\(l^{3}-8 = 0\)

\(l = 2\,ft\)

Then, we evaluate (5) at the value calculated above: (Second Derivative Test)

\(C'' = 3\)

Which means that critical value is associated with minimum possible total costs. By (1) we have the height of the box:

\(h = 5\,ft\)

The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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