what is the answer what is the answer what is the step by step answer to learn to do it

Answer:

Step-by-step explanation:

There are 15 circles and 6 squares.

Total shapes:

Ratio of squares to total shapes:

Answer:

the answer is 2:7

Step-by-step explanation:

6÷3 : 21÷3

=2:7

The equivalents of the functions are f(x)+g(x) = -2x²-x+6, g(x) - f(x) =   -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x)  = 3x + 2, g(x) = -2x²-2x+4 and h(x) = 3x²-4x

To solve this problem, just substitute the value of the function and perform the necessary operations on them.

f(x)+g(x)  = (3x+2) + (-2x²-2x+4)

            =  3x+2-2x²-2x+4

           =  -2x²-x+6

g(x) - f(x) = (-2x²-2x+4) - (3x+2)

              =  -2x²-2x+4-3x-2

             =   -2x²-5x+2

f(x).g(x)  = (3x+2)(-2x²-2x+4)

             = -6x³-6x²+12x -4x²-4x+8

            =  -6x³-10x²+8x+8            

h(x) - f(x) = (3x²-4x) - (3x + 2)

             = 3x²-4x-3x-2

             = 3x²-7x-2

f( x) . h(x) = (3x + 2)(3x²-4x)

              = 9x³-12x²+6x²-8x

              = 9x³-6x²-8x

f(x)+g(x)+h(x) = (3x + 2) + (-2x²-2x+4) + (3x²-4x)

                    = 3x+2-2x²-2x+4+3x²-4x

                    = x²-3x+6

Therefore, the equivalents are f(x)+g(x) = -2x²-x+6, g(x) - f(x) =   -2x²-5x+2, f(x).g(x) = -6x³-10x²+8x+8, h(x)-f(x) = 3x²-7x-2, f(x).h(x) = 9x³-6x²-8x and f(x)+g(x)+h(x) = x²-3x+6. You should match them accordingly

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Dividing 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 with the long division method will result to a quotient of 10x³ - 4x² + 2 and a remainder of 1.

The method of long division involves the following steps:

We sall divide the 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 by applying the long division method as follows;

50x⁴ divided by 5x equals 10x³

5x - 3 multiplied by 10x³ equals 50x⁴ - 30x³

subtract 50x⁴ - 30x³ from 50x⁴ - 50x³ + 12x² + 10x - 2 will result to -20x³ + 12x² + 10x - 2.

This process is repeated until we have a remainder of 1.

Therefore, by the long division method, we have quotient of 10x³ - 4x² + 2 and a remainder of 1.

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The probability that the squad will have exactly three women members is 0.389

Total number of people in CU Boulder triathlon = 21

Number of Men = 9

Number of Women = 12

We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.

Thus;

P(exactly 3 womens) = (12C3 * 9C2)/(21C5)

P(exactly 3 womens) =7920/1716

P(exactly 3 womens) = 0.389

Hence, the probability that the squad will have exactly three women members is 0.389

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The equation that represents the proportional relationship is y = 14x.

We are given a table. The table contains the values for "x" and "y". The first row contains the data for the variable "x". The values of "x" are 1, 2, and 3. The second row contains the data for the variable "y". The corresponding values of "y" are 14, 28, and 42. We know that the table shows a proportional relationship between the values of "x" and "y". Let the constant of proportionality be represented by the variable "k".

y ∝ x

y = k*x

k = y/x

The value of k must be the same for each corresponding pair of values of "x" and "y".

k = 14/1 = 28/2 = 42/3 = 14

Hence, the equation is y = 14x.

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Answer:

y = 14x.

Step-by-step explanation:

Answer: 16/18 and 10/16

Step-by-step explanation: The least common denominator would be 18 and 16 because you would multiply by 2.

Hoped This Helped!

A(n) Control Chart is a scatter chart with time on the horizontal axis, measurement scale on the vertical axis, displays mean and control limits, and may mark two standard deviations from the mean.

A control chart is one of the process improvement techniques or simply it is a graph to study how a process changes over time. In layman's terms the control chart shows if a process is under control or out of control. For calculating the average, there is always a central line in the control chart, an upper line and a lower line for upper control limit and lower control limit respectively.

The control charts are used to serve many purposes including monitoring a process for special variations and their causes and to remove them, estimating the process average and the variation, predicting the impacts of the process , etc.

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The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Camilla borrows a book from the library for d days.

The library charges a late fee 0.10 dollars per day that the book is late.

If Camilla returns the book more than 21 days after she borrowed it.

Then the expression will be 0.10d.

The total amount is given as

Total amount = 0.10 d

Total amount = 0.10 x 21

Total amount = $2.1

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Answer:

KentuckyCriedChickens

Answer:

190 43/100

Step-by-step explanation:

First, you turn the mixed fractions into improper fractions. 382 3/10 is 3823/10, and 191 87/100 is 19187/100. Then, you need to have a common denominator in order to subtract. This turns 3823/10 into 38230/100. 38230/100 - 9187/100 is 19043/100 since you only subtract the numerators. Finally, you turn it back into a mixed fraction by dividing 19043/100. This equals 190 with a remainder of 43. In conclusion, the answer is 190 43/100. I attached the image where I worked it out to show my thought process a bit more as well. I hope this helped! :D

The product of the fractions 1/7*5/3 is 5/21.

The product of the fractions= product of the numerator/product of the denominator.

The numerical numbers that make up a fraction of the whole are called fractions. A whole can be a single item or a collection of items. When anything or a number is divided into equal parts, each piece represents a portion of the total. A fraction is represented as a/b, where a and b are the numerator and denominator, respectively.

We multiply the 1 and 5, the numerators and 7 and 3 the denominators.

Therefore the product of the fractions is 5/21.

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Answer:

5/21

Step-by-step explanation:

Given problem,

→ (1/7) × (5/3)

Let's solve the problem,

→ (1/7) × (5/3)

→ (1 × 5)/(7 × 3)

→ 5/21

Thus, the answer is 5/21.

Answer:

y = 44

Step-by-step explanation:

y = 300

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Steps are in the attached picture!

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Joke: What runs around a farm but doesn’t move?

Answer: A fence.

Have a great day and God bless! :D

Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

The sides of ΔTUV in order from longest to shortest is as follows -

TV > TU > VU

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is ΔTUV, m∠T = 58° and m∠U = 97°.

Refer to the image attached.

TV > VU

TU + VU > TV

TV > TU + VU

So we can arrange the sides as follows -

TV > TU > VU

Therefore, the sides of ΔTUV in order from longest to shortest is as follows -

TV > TU > VU

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The simplification of the number by solving square root  5√18 is 15√2.

For the given number

= 5√18

Find the factors of 18 by prime factorization.

18 = 2 ×3 ×3

Put in the number.

=  5√2 ×3 ×3

Taking 3 out of root.

=  5×3√2

Further solving.

= 15√2

Thus, the simplification of the number by solving square root  5√18 is 15√2.

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Answer:

1. 10

Step-by-step explanation:

1. 20% of 50

[tex] \frac{20}{100} \: \: \: \times \: \: \: 50 \\[/tex]

=

[tex] \frac{1000}{100} [/tex]

= 10

0.08891% percent of people have a blood pressure reading greater than 145.

acc to our question-

Hence, 0.08891% percent of people have a blood pressure reading greater than 145.

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In this problem 0.7 is the standard deviation of the contents.

It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.

Given,

A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.

In this problem 0.7 is the standard deviation of the contents.

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The equation which represents the price of the ticket after the discount is y = 0.25x.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.

The equation for the cost of the ticket will be written as,

y = x - 0.75x

y = 0.25x

The graph of the linear equation is attached with the answer below.

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Answer:90 t shirts

Step-by-step explanation: 20:30 is the ratio and if they make 60 sweatshirts, they would have to make 90 tshirts as well. this would keep the same ratio

Answer:

5 1/4 // 5.25

Step-by-step explanation:

OR

Answer:

  5 1/4

Step-by-step explanation:

You want the product of 6 and 7/8.

Your written-out version of the question gives you a clue how to solve it:

  six times seven eighths

The associative property of multiplication lets you rearrange this to ...

  (six times seven) eighths = forty-two eighths

That is, the product is formed by multiplying the integer by the numerator, and expressing the whole thing over the denominator:

  [tex]6\times\dfrac{7}{8}= \dfrac{6\times7}{8}=\dfrac{42}{8}\\\\=\dfrac{40+2}{8}=\dfrac{40}{8}+\dfrac{2}{8}=5+\dfrac{1}{4}\\\\=\boxed{5\dfrac{1}{4}}[/tex]

The improper fraction is converted to a mixed number by looking at the quotient and remainder from the division: 42/8 = 5 r 2 = 5 2/8 = 5 1/4.

__

Alternate solution

Sometimes, it can be helpful to look at the problem another way.

  6 × 7/8 = 6 × (1 -1/8) = 6 -6/8

  = 6 -3/4 = 5 1/4

Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through (3, 5) perpendicular to the line y = 3x +2.

The given equation is in slope-intercept form. This lets us identify its slope as 3.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 3x +2 . . . . . . . line with slope 3 and y-intercept 2

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m = -1/3 . . . . slope of the perpendicular line

The equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The equation for a line with slope -1/3 through point (3, 5) is ...

  y -5 = -1/3(x -3)

Solving for y gives us ...

  y = -1/3x +1 +5 . . . . . eliminate parentheses, add 5

  y = -1/3x +6 . . . . . equation of the desired line

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The equivalent expression that represents the amount Anna can better understand how her money is invested is 5000(1+0.0005)^12t.

The correct answer option is option c.

Based on the expression given, Anna's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^(nm)

Where,

5000(1.0005)^12t

Given options:

a) 5000(1.0005^12)^t

False

b) 5025^12t

False

c) 5000(1+0.0005)^12t

= 5,000(1.0005)^12t

True

d) 5000(1.0005^t)^12

False

e) (5000+2.5)^12t

False

f) 5000(1+0.06/12)^12t

= 5000(1 + 0.005)^12t

= 5000(1.005)^12t

False

In conclusion, the expression equivalent to Anna's investment is 5000(1+0.0005)^12t

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The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

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Step-by-step explanation:

only limited sense.

first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.

therefore, 29.5 students for a single field trip calculation does not make sense.

but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.

⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)

16°+90°+2y=180°

[tex]106+2y=180\\2y=180-106\\2y=74\\\frac{2y}{2} =\frac{74}{2} \\y=37[/tex]

∴y=37°

∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)

16°+90°+4x=180

[tex]106+4x=180\\4x=180-106\\4x=74\\\frac{4x}{4} =\frac{74}{4} \\x=18.5[/tex]

∴x=18.5°