Find the number of choices that are possible if you choose one of 3 kinds of fruit and one of 3 kinds of vegetables.
9 choices
7 choices
13 choices
6 choices

The expanded form in terms of the sums of powers to tens of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

As per the given data the given decimal number is 237.45.

Here we have to determine the expanded form in terms of the sums of powers to tens.

Expanded Form: In its extended sense, A number is divided up into its place values, then expanded to represent the value of each digit.

Then N can be written in expanded in for terms of 10 is

[tex]$$\Rightarrow N=a \times 10^2+b \times 10^1 + c \times 10^0+d \times 10^{-1}+e \times 10^{-2}$$[/tex]

Let the given number 237.45 is denoted by N.

N = 237.45

First, write the expanded form of a number before the decimal place.

Then using [tex]$\circledast$[/tex], we have

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times \frac{1}{10}+5 \times \frac{1}{10^2} \\[/tex]

[tex]& N=2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2} \\[/tex]

237.45 = [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex]

Therefore the expanded form of 237.45 is [tex]2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}[/tex].

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Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens

A. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0+4 \times 10^{-1}+5 \times 10^{-2}$[/tex]

B. [tex]$237 \times 100+45 \times 1 / 1000$[/tex]

C. [tex]$2 \times 10^2+3 \times 10^1+7 \times 10^0-4 \times 10^1-5 \times 10^2$[/tex]

D. 200+30+7+0.4+0.05

Answer: 72cm³

Step-by-step explanation:

lengh x width x base with means 6 x 4 x 3

Answer:

64(ab÷c²)

step by step:

(when you multiply two similar bases you can add their exponents but when dividing similar bases you subtract their exponents)

for example

a³x a= a⁴

a²÷ a= a²-¹= a

so

4a³x 16a⁰b¹÷ 1ac²=

64a³b÷ac²

64a²b/c²

Answer:

A) 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Q1 = 34

Q3 = 41

41- 34 = 7

Therefore ,As a result, the answer to the above  equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).

An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.

Here,

Given :

At time zero, Kadeesha stepped outside and drove 3 minutes at a speed of 1 block per minute to the store.

after traveling six blocks at her normal speed of three blocks per minute

She spent 5 minutes stopping at the bank as a result. She then sped home at a rate of three blocks per minute.

She therefore begins at (19,8), travels 8 blocks back in 2 minutes, and ends at (21,0).

Therefore ,As a result, the answer to the above  equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).

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The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.

In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The general formula to find area of square is A=a^2 where is a is length of sides.

The area of a square is given by:

A= l^2 where l is the length

So l= n^3*m^4/(nm)^2

A=l^2= n^6*m^8/(nm)^4

So area of the square is n^6*m^8/(nm)^4.

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Answer:

B

Step-by-step explanation:

[tex]1)\cos\ Q = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]2)\ PQ = 2XY, PQR\ and\ XYZ\ - similar\ =>\ RQ = 2YZ\ and\ PR = 2XZ[/tex]

[tex]3)\ Sin\ Z = \frac{XY}{YZ} = \frac{\frac{PQ}{2}}{\frac{QR}{2}} = \frac{PQ}{QR} = \frac{\sqrt{7}}{5}[/tex]

[tex]Answer: \ \frac{\sqrt{7}}{5}[/tex]

The exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number, is generates the geometric series.

Geometric series are sets of elements generated by exponential functions of the form:

y = a · bⁿ ⁻ ¹, where a and b are real numbers and n is a natural number.

Where:

According to the statement, we derive the following expression between the two sums:

9 · a · (1 + b + b²) = a · (1 + b + b² + b³ + b⁴ + b⁵)

Now we proceed to simplify and find the value of b:

8 · a · (1 + b + b²) = a · (b³ + b⁴ + b⁵)

8 · (1 + b + b²) = b³ + b⁴ + b⁵

b⁵ + b⁴ + b³ - 8 · b² - 8 · b - 8 = 0

Then, the value of b by numerical methods is equal to 2.

The geometric series is generated by the exponential function y = a · 2ⁿ ⁻ ¹, where a is any real number.

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Answer:

20 tables

Step-by-step explanation:

you can set up an equation where P/10=tables where P=number of people. so since you have 200 people coming, so you divide 200 by 10 and you will have 20 tables

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls mark brainliest

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Answer:

[tex]4c - 5 = 4 [/tex]

[tex]4c = 9[/tex]

[tex]c = \frac{9}{4} [/tex]

A shape with 1 trillion sides is called a teragon. A teragon is a polygon that has an infinite number of sides, the most famous example of teragon is the Koch snowflake.

Typically, a teragon will be bounded by one or more self-similar fractal curves, which are formed by replacing each line segment in an initial figure with multiple interconnected parts, then substituting each of those parts with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure.

Another example of a teragon is the horned triangle which is formed by pitching a series of smaller triangles on one corner of an equilateral triangle. It is also an example of a reptile, or shape that can be completely examined into smaller copies of itself.

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The percentage of increase in the number of points is 16 %

What Does Percent Mean?

A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%

given the data,

The basketball team's total point total was 75.

The basketball team's enhanced point total was 87.

The difference between the basketball team's total points scored and its increased points are the increase in points.

The increase in points = 87 - 75

                                     = 12 points

So, the percentage increase in points = ( increase in points/number of points scored by the basketball team ) x 100

The percentage increase in points = ( 12 / 75 ) x 100

                                                         = 0.16 x 100

                                                         = 16 %

Therefore, the percentage increase is 16 %

Hence, the percentage of increase in the number of points is 16 %

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Answer:

1500 ml

Step-by-step explanation:

Answer:

1500 kkkkkkkkkkkkkkkkk

The domain of √ (square root) is all non-negative real numbers.

The domain of a function represents the set of all input values that can be used in the function without resulting in an undefined or meaningless output.

The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number.

This is because in order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. Therefore, any real number greater than or equal to zero can be used as the input for the square root function, making its domain all non-negative real numbers.

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The exponential function showing the relationship between y and t is y = 4800e^(0.0625t).

An exponential function is a function of the form f(x) = bx, where b is a positive real number and x is a real number. This type of function is commonly used to model the rate of growth or decay of a quantity over time. Exponential functions have the property that their derivatives (slope) are proportional to the value of the function itself. This property makes them useful for modeling phenomena with compound growth or decay, such as populations, interest rates, and radioactive decay.

In this equation, 4800 is the original principal, 0.0625 is the interest rate (6.25%) and t is the number of years since the start of the investment. This equation can be used to calculate the value of the investment after any number of years. For example, if t = 5, then y would equal 6,842.50. This means that after 5 years, the value of the investment would be 6,842.50.

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Answer:

Option 1

Step-by-step explanation:

Given expression representing the partial sum of the geometric series,

[tex]\sum_{n=1}^{n=4}(125)(\frac{1}{5})^{n-1}[/tex]

Expression that represents the sum of a geometric series is,

[tex]\sum_{n=1}^{n}(a)(r)^{n-1}[/tex]

Here, n = number of terms

a = first term

r = common ratio

By comparing both the expressions,

n = 4

a = 125

r = [tex]\frac{1}{5}[/tex]

From the given options,

Option 1

First term 'a' = 125

Common ratio 'r' = [tex]\frac{25}{125}[/tex] = [tex]\frac{1}{5}[/tex]

Number of terms 'n' = 4

Therefore, Option 1 will be the correct option.

Answer:

x:16

this is related to the Pythagorean theorem

Answer:

Area of smaller shape = 245 cm²

Step-by-step explanation:

Given:

Scale factor ration [Big shape to small shape] = 14:7

Area of bigger shape = 490 cm²

Find:

Area of smaller shape

Computation:

Area of smaller shape = Area of bigger shape[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 35[7]

Area of smaller shape = 245 cm²

Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.

A system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.

To solve this problem, we have to set our variables as;

Let;

The equations can be written as;

5x + 6y = 500 ...eq(i)

x + y = 200 ...eq(ii)

From equation ii,

x = 200 - y ...eq(iii)

Put eq(iii) into eq(i)

5(200 - y) + 6y = 500

1000 - 5y + 6y = 500

1000 + y = 500

y = -500

Put y = -500 into eq(ii)

x - 500 = 200

x = 700

From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.

Kindly find the attached graph below

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Answer:

D. 18, 24, 30

Step-by-step explanation:

The easy way to do this is to look for the answer with equal differences between the numbers:

24-18 = 6

30-24 = 6

We can do this because we know the triangles are similar. The difference between 15, 20 and 20, 25 is equal.  

Answer:

20x + 28y

Step-by-step explanation:

Answer:

6(3x+4y) + 2(x + 2y)

18x+24y + 2(x + 2y)

20x + 28y

The required function that gives [tex]f(g(x))[/tex] that represents the total amount of money Raul earned is

                [tex]f(g(x)) = 10x^{3}+16[/tex]

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Mostly functions are written as f(x) where x is the input of the function.

Given,

[tex]f(x) = 2x^{2}+16[/tex]

[tex]g(x)[/tex] = [tex]\sqrt{5x^{3} }[/tex]

If [tex]f(x)[/tex] represents amount of money Raul earns per ticket and [tex]g(x)[/tex] represents number of tickets Raul sells per hour, where x is the number of hours he works, then,

[tex]f(g(x))[/tex] represents the total amount of money Raul earned in a day.

To find [tex]f(g(x))[/tex], substitute value of [tex]g(x)[/tex] in the place of x in function [tex]f(x)[/tex] .

[tex]f(g(x))[/tex] = [tex]f[/tex]([tex]\sqrt{5x^{3} }[/tex])

          = 2(    [tex]\sqrt{5x^{3} }[/tex])² +16

          = 10x³ + 16

Therefore the required function is [tex]f(g(x)) = 10x^{3}+16[/tex].

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Ai Mi have to pay $10.50 to buy 3 pounds of chicken.

An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.

Cost = (3.5 * pp) - 2.5

The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50

With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.

The expression for the cost to buy pp pounds of chicken:

Cost = (3.5 * pp) - 2.5

Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.

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Answer:

complement

Step-by-step explanation:

The complement of a set is the set in the universal set that is not included in that set

The universal set contains all elements

For example

U = { 1, 2, 3, 4, 5, 6, }

A = {1, 3, 6}

(complement of A) A' = {2, 4, 5}

The speed of the Bike is 5 meters per second

Speed is a scalar quantity that describes how fast an object is moving . It is defined as the distance an object travels divided by the time it takes to travel that distance. The units of speed are typically meters per second (m/s) or kilometers per hour (km/h).

To find out how fast you are traveling on your bike, you can use the formula:

Speed = [tex]\frac{Distance}{Time}[/tex]

In this case, the distance is 340 meters and the time is 68 seconds. So, you can plug these values into the formula and get:

Speed = 340 meters / 68 seconds

Speed =  [tex]\frac{340 meters}{68 seconds}[/tex]  =   5 meters per second

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Answer:

Step-by-step explanation:

Divide 712 hours by 24 hours/day, obtaining 29 2/3 days, which in turn breaks down into 28 days plus 1 2/3 days, or 4 weeks plus 1 2/3 days.  '4 weeks' takes us to a Monday, 22:48, 4 weeks after the start of the journey.

To this we add 1 2/3 days, reaching 16 hours into the Tuesday immediately following that Monday.  That would be approximately 16:00 on that Tuesday, but we must work backwards 1:12 hours:  subtracting 1:12 from 16:00 on Tuesday yields 14:48

The journey finishes at 14:48 4 weeks and 1 day after it began.

The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.

The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.

It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.

So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.

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Answer:

50°  and  130°

Step-by-step explanation:

Linear pair of angles are supplementary, which means their sum is 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

4x = 160

x = 40

x + 10 = 40 + 10 = 50°

3x + 10 = 3(40) + 10 = 120 + 10 = 130°