3 = blank X blank X blank = -27
fill in ALL the blanks​

A number z divided by 2 is at least -6 is expressed as z ÷ 2 = ≥ -6

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal parts. Every day, we might use the division technique in various situations.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is contained within another is one interpretation of the division of two natural numbers. 7 It's not necessary for this number to be an integer.

The expression to represent this problem is:

z ÷ 2 = ≥ -6

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The derivative of e²ˣ is 2e²ˣ.

A derivative of any function is the rate of change that will be made on the function if its independent variable changes by a small amount.

Now a function can also have another function in it. Then if we need to find the derivative of that function we need to use the chain rule. This states that for any variable x, if there is a function

f(g(x)) then derivative of f(g(x) will be f'(g(x))⋅g'(x)

this means that we need to first hold the function in it constant and then multiply the function's derivative with respect to x.

Here f(g(x)) = e²ˣ where g(x) is 2x

Now we will first hold 2x as one variable. We know that d/x of eˣ is eˣ

Hence we get

e²ˣ

Now we will differentiate 2x. The derivative of 2x is 2

Hence we get the derivative as

2e²ˣ

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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:

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.

On converting the length , 152 centimeter is equivalent to 59.8424 inches .

There are various units of measuring the length , which include , meter (m) , centimeter (cm) , kilometer (km) , inches (in.) ;

In order to convert 152 centimeters (cm) to inches,

We use the conversion factor of 0.3937 inches per centimeter.

So , we multiply the number of centimeters by this conversion factor to get the equivalent length in inches ;

By using this method, we get ;

⇒ 152 cm × 0.3937 inches/cm = 59.8424 inches ;

Therefore, 152 centimeters is equal to approximately 59.8424 inches.

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The volume of an aquarium is 2071.875 cubic inches. Below, you will learn how to solve the problem.

The volume of an aquarium can be calculated by multiplying its length, width, and height. In this case, the length is 19 1/2 inches, the width is 8 1/2 inches, and the height is 12 1/2 inches.

To calculate the volume, we need to multiply these three measurements together:

Volume = Length × Width × Height
Volume = (19 1/2) × (8 1/2) × (12 1/2)
Volume = 2071.875 cubic inches

So the volume of the aquarium is 2071.875 cubic inches.

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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.

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.

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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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°

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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Answer:

Below

Step-by-step explanation:

Since it is a QUADRATIC  it should be

3x^2 - 75 = 0    divide through by 3 to get

x^2 - 25 = 0       then

x^2 = 25

x = ±5

To divide polynomials by a monomial written in standard form, you can divide each term of the polynomial by the monomial separately. Applying this to the given expression, we get:

(30c^8d^3 - 3bc^6d^2 + 6c^8d) / (12c^2d)

= 30c^8d^3/(12c^2d) - 3bc^6d^2/(12c^2d) + 6c^8d/(12c^2d)

= 2.5c^(8-2)d^(3-1) - 0.25bc^(6-2)d^(2-1) + 0.5c^(8-2)d^(1-1)

= 2.5c^6d^2 - 0.25bc^4d + 0.5c^6

= 5c^6d^2 - 0.5bc^4d + c^6/2

Therefore, the simplified expression is 5c^6d^2 - 0.5bc^4d + c^6/2.

Refer to the attached image.

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 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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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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Answer: The formula to calculate simple interest is:

I = P * r * t

where:

- I is the interest earned

- P is the principal amount (the initial investment)

- r is the annual interest rate (as a decimal)

- t is the time in years

- To calculate the total amount in the account after the interest is earned, you need to add the interest earned to the principal amount.

So for Mrs. Baxter's investment, the calculation would be:

P = 2000 (the principal)

r = 0.05 (the annual interest rate as a decimal)

t = 8 (the time in years)

I = P * r * t = 2000 * 0.05 * 8 = 800

The interest earned over the 8-year period is $800.

The total amount in the account after 8 years would be the principal plus the interest earned:

A = P + I = 2000 + 800 = 2800

So Mrs. Baxter's investment would be worth $2,800 after 8 years.

Step-by-step explanation:

The amount after 8 years with the rate of interest as 5% simple interest is $2800.

What is meant by simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant. Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time.

Given,

The principal amount P = $2000

The rate of interest r = 5% = 5/100 = 0.05

The time period t = 8 years.

We have to find the amount after 8 years using simple interest formula.

Amount A = P(1+rt) = 2000(1+0.05 * 8)

                              = 2000 * 1.4 = $2800.

Therefore the amount after 8 years with the rate of interest as 5% simple interest is $2800.

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The simplified expression is [tex]4.0 \times 10^{32}[/tex]

A mathematical statement without an equals sign that contains variables, constants, and mathematical operations is known as an algebraic expression. Algebra and other branches of mathematics both employ algebraic expressions to represent mathematical connections.

Simple algebraic expressions include x + 2, which consists of the addition operation, the constant (2), and the variable x. Several variables, constants, and operations can be found in more complicated algebraic formulas, like 2x2 + 3xy - 4.

Whereas constants are fixed values that never change, variables in algebraic expressions indicate unknowable values that can vary or change. Variables and constants are combined using mathematical operations including addition, subtraction, multiplication, and division.

In several academic disciplines, such as physics, chemistry, economics, and engineering, algebraic expressions are employed to solve issues. Moreover, they are used to manipulate and simplify mathematical formulas and equations as well as to mimic actual life circumstances.

By combining like terms, or terms with the same variable raised to the same power, algebraic expressions can be made simpler. For instance, the like words 3x and 2x in the equation 3x + 2x + 5 can be combined to create 5x, resulting in the abbreviated expression 5x + 5.

[tex]2\times 2 \times 10 = 20\times 2[/tex]

Next, we can use the rule that when we multiply two numbers with the same base, we add their exponents. Therefore:

[tex]10^{58} \times 10^{-27} = 10^{(58-27)} = 10^{31}[/tex]

Putting it all together:

[tex](2\times 2 \times 10) \times (10^{58} \times 10^{-27}) = 20\times 2 \times 10^{31} = 40\times 10^{31} = 4.0 x 10^32[/tex]

Therefore, the simplified expression is [tex]4.0 \times 10^{32}[/tex]

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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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10m for the 1st floor. 7.32m for the 2nd floor.

What is the Trigonometry?

Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.

Let the point where the man is standing on window be A.

Let the point where the dustbin is there be B.

Let the foot of the building be C.

So, according to the given details,

CB = 10m.

angle (ABC)= 45 degrees.

Let the point of the 2nd floor be P.

We must understand what the angle of depression is: It is the angle measured below the horizontal level.

In triangles ABC and PBC, we use trigonometric ratios as follows:

[tex]tan(45) = AC/BC\\\\AC = BC = 10cm.\\tan(60) = CP/BC\\\\CP = BC\sqrt[2]{3}\\CP = 10\sqrt[2]{3}\\ CP = 17.32m. \\\\2ndfloorheight = CP - AC = 7.32m[/tex]

Hence, 10m for the 1st floor. 7.32m for the 2nd floor.

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Answer:

[tex]y = -\frac{5}{3}x-7[/tex]

Step-by-step explanation:

We are given three coordinates. First, we have to find the slope. We can do this by counting the slope of two points which we will do for simplicity's sake.

[tex]\frac{rise}{run}[/tex] gives us [tex]-\frac{5}{3}[/tex] which we will use as the slope.

Looking at the graph, the y intercept of the equation is -7, so our equation would be [tex]y=-\frac{5}{3}x-7[/tex]

There were 42 full-price tickets sold, 126 senior citizen tickets sold, and 47 student tickets sold.

Let's define the variables:

Let's call the number of full-price tickets sold "f".

Let's call the number of senior citizen tickets sold "s".

Let's call the number of student tickets sold "t".

From the problem statement, we know:

The total number of tickets sold is 215: f + s + t = 215

The total revenue from ticket sales is $1,214.00: 7f + 5.25s + 5.50t = 1214

The number of senior citizen tickets sold is 3 times the number of full-price tickets sold: s = 3f

We can use the third equation to substitute "3f" for "s" in the first two equations, and simplify:

f + 3f + t = 215 -> 4f + t = 215

7f + 15.75f + 5.50t = 1214 -> 22.75f + 5.50t = 1214

Now we have two equations with two variables, which we can solve using any method of our choice. For simplicity, we will use the substitution method:

From the first equation, we can isolate "t":

t = 215 - 4f

We can substitute this expression for "t" in the second equation, and solve for "f":

22.75f + 5.50(215 - 4f) = 1214

22.75f + 1182.5 - 22f = 1214

0.75f = 31.5

f = 42

So, there were 42 full-price tickets sold. We can use the third equation to find the number of senior citizen tickets sold:

s = 3f = 3(42) = 126

Finally, we can use the first equation to find the number of student tickets sold:

f + s + t = 215 -> 42 + 126 + t = 215 -> t = 215 - 42 - 126 = 47

Therefore, there were 42 full-price tickets sold, 126 senior citizen tickets sold, and 47 student tickets sold.

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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

Answer and Step-by-step explanation:

120 kg is approximately 264.55 lbs (pounds).

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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The conversion of 2000 pound sterling to dollars is 2,740 US dollars.

The conversion of 2000 pounds sterling to dollars depends on the current exchange rate between the two currencies.

The exchange rate was approximately 1.37 US dollars per 1 British pound.

Using this exchange rate, we can convert 2000 pounds sterling to US dollars as follows:

2000 pounds * 1.37 dollars/pound = 2,740 US dollars

Therefore, 2000 pounds sterling is equivalent to approximately 2,740 US dollars using the exchange rate mentioned above. However, please note that exchange rates can fluctuate over time, so the exact conversion may be different depending on the current exchange rate.

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Correct Question :

What is the conversion of 2000 pound sterling to dollars ?

Answer:

d!!

Step-by-step explanation:

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%

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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