Given the functions f(x) and g(x) below, find all solutions to the equation
f(x) = g(x) to the nearest hundredth.

f(x) = 0.15x³ - 2x² +7x-3.3
g(x) = 1.5|x - 7.3

Answer:

31.08 billion

Step-by-step explanation:

If the shoe sales for a certain company were 25.9 billion, and the sales are projected to increase by 20%, we can calculate the projected amount by adding the increase to the original sales:

Projected sales = Original sales + (Increase percentage × Original sales)

Plugging in the values we have:

Projected sales = 25.9 billion + (0.20 × 25.9 billion)

Projected sales = 25.9 billion + 5.18 billion

Projected sales = 31.08 billion

Therefore, the projected amount of shoe sales for the company is 31.08 billion.

Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:

[tex]$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$[/tex]

where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

A = $13,299.23

r = 0.08 (8%)

n = 4 (quarterly compounding)

t = 5 years

We can rearrange the formula to solve for P:

[tex]P = \frac{A}{(1 + \frac{r}{n})^(nt) }[/tex]

Plugging in the values, we get:

[tex]P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }[/tex]

P ≈ $8,000.32

Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.

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They use 280 gallons a day.

24.5 times 2.8 is 68.6

24.5% of 100 is 24.5

100 times 2.8 is 280

Answer:

Can u pls type the question in??

Answer:

Exponential decay by 9% each cycle (n).

Step-by-step explanation:

The function y = 51(0.91)^n is an exponential decay function.  The term (0.91) is less than 1, so when multiplied by anything, the result will be less than the original number, by 9% [(100-91)/100].  The power n, represents the number of cycles (e.g., days, minutes, years, seconds, etc.).  Each succeeding cycle reduces the previous number by the same amount of (0.91).  

See the attached graph.

Answer:

d!!

Step-by-step explanation:

A 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0. This implies that the system is inconsistent.

The goal of pivoting is to turn a leading one into a zero for an element that is above or below it.

A matrix's left-hand side element is referred to as the "pivot" or "pivot element" when you wish the components above and below it to be 0.

This element usually has a value of 1.

If and only if the echlon form of the augmented matrix designating the linear system of equations contains no row of the type, then the linear system is said to be consistent.

Given that, a 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0.

This implies that the system is inconsistent.

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Answer:

1. No

2. Yes

3. No

Step-by-step explanation:

1.

We know that c = 7, so we plug it in to prove if the equation is true.

[tex]7+8=15[/tex]

The variable is not a solution.

2.

We know a = 30, so we plug it in to prove if the equation is true.

[tex]30-4=26[/tex]

The variable is a solution.

3.

We know y = 4.1, so we plug it in to prove if the equation is true.

[tex]12.6-4.1=8.5[/tex]

The variable is not a solution.

Answer:

y = 22x - 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 22 , then

y = 22x + c ← is the partial equation

to find c substitute (1, 2 ) into the partial equation

2 = 22(1) + c = 22 + c ( subtract 22 from both sides )

- 20 = c

y = 22x - 20 ← equation of line

(1) As a result, the Monitor costs $275 to buy online. (2) There is a 20% price disparity between the two retailers.

10,000 pairs of shoes are ordered by Shoes Unlimited from an overseas vendor. This entails the business issuing a purchase requisition, which serves as a formal promise to buy the specified kind and number of shoes.

(a) To find the price of the TV when purchased online, we can add 25% markup to the manufacturer's price of $220:

Price online = $220 + (0.25 * $220)

Price online = $220 + $55

Price online = $275

So the price of the TV when purchased online is $275.

To find the price of the TV when purchased at the superstore, we can add 45% markup to the manufacturer's price of $220:

Price at superstore = $220 + (0.45 * $220)

Price at superstore = $220 + $99

Price at superstore = $319

So the price of the TV when purchased at the superstore is $319.

(b) The difference between the prices in part (a) is:

Price at superstore - Price online = $319 - $275 = $44

The difference in markup between the two stores is:

Markup at superstore - Markup online = 45% - 25% = 20%

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Answer and Step-by-step explanation:

120 kg is approximately 264.55 lbs (pounds).

The number of fiction books is given as follows:

58 fiction books.

The number of fiction books is obtained applying the proportions in the context of the problem.

The total number of books is of 580, while the percentage of fiction books is of 10%. Hence the number of fiction books is obtained as follows:

0.1 x 580 = 58 fiction books.

The percentage of fiction books is of 10%.

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The required value of 120 kilos which is same as 120 kilograms is equal to ( 264.55 ) pounds  ( round up to two decimals ) .

One kilogram = 2.20462 pounds

We need to convert 120 kilograms into pounds :

⇒ 120 kilograms = ( 120 × 2.20462 ) pounds

⇒ 120 kilograms = ( 264.5544 ) pounds

⇒ 120kilograms = ( 264.55 ) pounds  ( round up to two decimals )

Therefore, the value of the 120 kilograms is equal to ( 266.55 ) pounds  ( round up to two decimals ) using converting factor.

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Answer:

see explanation

Step-by-step explanation:

the inscribed angle ADB is half the arc that subtends it , AB , then

AB = 2 × ∠ ADB = 2 × 46° = 92°

the central angle BOC is equal to the arc that subtends it, BC , so

BC = 22°

Then

ABC = AB + BC = 92° + 22° = 114°

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

BD is a diameter of the circle , so BAD = 180° THEN

AD = 180° - AB = 180° - 92° = 88°

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

the sum of the arcs on a circle = 360° , so

ADC = 360° - ABC = 360° - 114° = 246°

The area of the composite figure is equal to 52 square units

The composite figure can be observed to be made up of two congruent triangles, and a parallelogram, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the one congruent triangles = 1/2 × 8 units × 4 units

area of the one congruent triangles = 16 square units

area of the parallelogram = 5 units × 4 units

area of the parallelogram = 20 square units

total area of the composite figure = 16 square units+ 16 square units + 20 square units

total area of the composite figure = 52 square units

Therefore, the area of the composite figure is equal to 52 square units

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An outlier is an extreme value that is significantly different from other values in a dataset.

A histogram is a graphical representation of the distribution of numerical data. It is a type of bar chart that displays the frequency of values in a dataset by dividing the range of values into intervals, or bins, and counting the number of values that fall into each bin. The bins are usually consecutive and non-overlapping intervals of a variable, such as time, temperature, weight, or height. To create a histogram, we first divide the range of values into a set of bins or intervals. Then, we count the number of data points that fall into each bin and plot a bar for each bin, where the height of the bar represents the frequency or count of data points in that bin. The bars in a histogram are typically drawn adjacent to each other, without gaps, to emphasize the continuity of the data.

Here,

It is typically defined as a value that is located far away from the other values, either above or below the typical range of values. Outliers can arise from various causes, such as measurement errors, data entry errors, or real differences in the underlying population.

Therefore, the correct options for this multiple select question are:

An extreme value that might have arisen from a different cause.

An extreme value that might have arisen from measurement error.

An extreme value that is located in the tail of the histogram.

The first option is correct because outliers may arise from different causes such as changes in the underlying population or errors in the data collection process.

The second option is also correct because outliers may arise due to errors in measurement, such as recording a value that is too high or too low, or a malfunctioning instrument.

The fourth option is not necessarily correct because an outlier may or may not be located in the tail of a histogram. A histogram is a graphical representation of the distribution of data, and outliers can appear anywhere in the distribution, not just in the tail.

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The operations to create a dot plot includes A,C and D.

What Exactly Is a Dot Plot?

A dot plot, also known as a strip plot or dot chart, is a simple type of data visualisation in which data points are represented as dots on a graph with x and y axes. These charts are used to graphically represent certain data patterns or groups. The most well-known dot plot is perhaps the Federal Reserve's quarterly interest rate predictions.

Now,

As  A dot plot is made up of data points that are represented as dots on a graph with an x- and y-axis. Dot plots are often set up with one axis representing the range of values or categories along which the data points are categorised and a second axis representing the number of data points in each category.

Hence,

          The operations to create a dot plot includes A,C and D.

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Answer:

The exponential model that represents the population y of the city t years after 2014 is y = 471,000 * 1.04^t.

The estimated population in 2020 is about 591,000.

An online calculator for Rand McNally mileage is a tool that allows you to calculate the distance and travel time between two locations based on the Rand McNally Road Atlas.

An online calculator for Rand McNally mileage typically requires you to input the starting location and the destination and then provides an estimated distance and travel time based on data from the Rand McNally Road Atlas. Some calculators also allow you to adjust for factors such as traffic, tolls, and fuel consumption.

This type of calculator can be useful for planning road trips, estimating travel costs, and optimizing travel routes. It is often used by trucking companies, delivery services, and other businesses that rely on accurate mileage and travel time information.

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Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

The point-slope form of an equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line

m is the slope of the line.

We can use the given point (−5,−2) as (x1,y1)

Choose any value for the slope m to write the equation of the line in point-slope form.

For example:

Option 1:

Let's choose the slope m to be 2.

Then the equation of the line becomes:

y - (-2) = 2(x - (-5))

Simplifying the equation:

y + 2 = 2(x + 5)

Option 2:

Let's choose the slope m to be -3.

Then the equation of the line becomes:

y - (-2) = -3(x - (-5))

Simplifying the equation:

y + 2 = -3(x + 5)

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

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The expression "e to the pi" refers to the mathematical constant e raised to the power of the mathematical constant pi (approximately 2.71828). (approximately 3.14159).

As, the exact value is an irrational number that cannot be expressed as a finite decimal or fraction, the value of e to the pi is approximately 23.14069.

The combination of e and pi is a well-known mathematical expression that can be seen in a variety of areas of mathematics, including calculus, number theory, and complex analysis.

Mathematicians are particularly interested in e to the pi because it is a transcendental number (a number that is not the root of any non-zero polynomial with rational coefficients).

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Answer:

In order for f

to have an inverse, it must be a bijection. That is, it must be an injection and a surjection. So we must restrict the domain and codomain appropriately. It is standard that the square root operation returns positive values, so we use that as the basis for our restriction.

The sides that cannont be the sides of a triangle are the ones in option B.

2cm, 6cm, 4cm

If A, B, and C are the sides of a triangle, then the triangular inequality says that:

A + B > C

A + C > B

C + B > A

So, any set of 3 sides where the sum of two of the sides is smaller than the other side cannot be the sides of a  triangle.

Then the correct option will be b:

2cm, 4cm, 6cm

If we add the two shorter ones we will get:

2cm + 4cm = 6cm

And that is not larger than the other side, so it isthe correct option.

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The area of the path is 256 square feet.

What is the area of rectangle?

The area of a rectangle is given by the formula:

Area = length x width

where "length" and "width" are the dimensions of the rectangle. To find the area of a rectangle, simply multiply the length by the width.

To find the area of the path surrounding the rectangular garden, we need to subtract the area of the garden from the area of the larger rectangle that includes the path. The larger rectangle measures 25 feet by 43 feet.

Area of the larger rectangle = 25 ft * 43 ft = 1075 sq ft

Area of the garden = 21 ft * 39 ft = 819 sq ft

So, the area of the path surrounding the garden is:

Area of the larger rectangle - Area of the garden = 1075 sq ft - 819 sq ft = 256 sq ft

Hence, the area of the path is 256 square feet.

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So the length of the path along the longest side of the park would be 35 yds.

The three sides of a triangle, a three-sided polygon in geometry, are made up of three edges and three vertices. A triangle's most important property is that its internal angles can all be added up to 180 degrees.

The area of a right triangle is given by the formula A = (1/2) * b * h, where b and h are the lengths of the legs of the triangle. Since one of the legs of the park is 21 yds and the area is 294 yd², we can solve for the length of the other leg:

A = (1/2) * b * h

294 = (1/2) * 21 * h

h = (2 * 294) / 21

h = 28

So the length of the other leg of the triangle is 28 yds.

To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the length of the hypotenuse:

c² = a² + b²

Plugging in the values we have, we get:

c² = 21² + 28²

c² = 441 + 784

c² = 1225

c = 35

So the length of the path along the longest side of the park would be 35 yds.

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The measure of the arc ADB is 253 degrees. This means that the correct option is option C.

In the given diagram, we can clearly see that -

Using the rules of symmetry, we can conclude that,

∠AOD = ∠BOC

and similarly,

∠AOB = ∠DOC

Also since we know that -

∠AOD+∠DOC=180°

We can write - 2∠AOD+2∠DOC=360°

In the question here, it is given that the angle ∠AOD=73°

So, using the value of the angle AOD, we can calculate that -

= 2(73°) + 2∠DOC=360°

= 146° + 2∠DOC=360°

= 2∠DOC=360°-146°

= 2∠DOC=214°

= ∠DOC=107°

And

∠ADB=2∠A0D+∠DOC

=∠ADB=146°+107°

=∠ADB=253°

Hence, option C is the correct option.

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Answer: the answer is C 253°

Step-by-step explanation: see below.

Answer:
Unit Rate: $10/km

Equation: x=y/10 or y=10x

Answer: the discount in dollars and cents was $10.40.

Step-by-step explanation: Austin bought some belts online for $26. With a 40% discount, the price of the belts is reduced by:

Discount = 40% x $26 = $10.40

So the new price after the discount is:

$26 - $10.40 = $15.60

Then a 10% processing fee is applied to the discounted price of $15.60, so the final price paid by Austin is:

Final price = $15.60 + 10% x $15.60 = $17.16

Therefore, the discount in dollars and cents was $10.40.

ANSWER : Austin got discount of 8.84 $ and 34% of price of belt.

EXPLANATION

Price of belts is $26.

Price of belts after discount of 40% = $15.6

(60% of 26 is 15.6)

Price of belt after processing fee of 10% = 17.16

(110% of 15.6 is 17.16)

Final discount in $ = Price of belt - Price of belt after processing fee

26-17.16=8.84

Final discount in % = (8.84*100)/26 =34%

Answer:

1 milliliter = 0.00105669 liquid quart

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 milliliter it is equivalent to 0.00105669 liquid quart.