bill wrote all the numbers from 1 to 1000. how many digits did he write down?

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

.

Step-by-step explanation:

a ) The expression for the radius of the circle = r = 2x + 3

b ) The least possible value of radius is - 1.5

Given : Area of the circle = 4πx² + 12πx + 9π

a) The expression for the radius of the circle = r = 2x + 3

we can find this out by middle term split

we can write the area of the circle as

4πx² + 12πx + 9π

4πx² + 6πx + 6πx + 9π

this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )

π( 2x + 3 ) ( 2x + 3 )

thus the radius expression is 2x + 3

b ) The least possible value of radius is 2x + 3 = 0

this implies 2x = - 3

x = - 1.5

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After 16.9 years the population will reach to 24300.

What do you mean by exponential growth and decay?

Quantities that fluctuate quickly are subject to exponential growth and decay. The idea of geometric progression has been used to infer exponential growth and decay. Exponential growth or exponential decay are terms used to describe quantities that vary exponentially rather than continuously. Studying bacterial growth, population expansion, and money growth schemes all use exponential growth.

It is given that a town has a population of 16000 and grows at 2.5% every year.

Now we need to  find the time period when the population will reach 24300

So, [tex]24300 = 16000(1+0.025)^{t}[/tex]

24300/16000 = [tex](1+0.025)^{t}[/tex]

24300/16000 = [tex]1.025^{t}[/tex]

1.51875 = [tex]1.025^{t}[/tex]

Taking log on both sides we get,

log(1.51875) = t log(1.025)

0.18148 = t (0.01072)

t = 0.18148/0.01072 = 16.9

Therefore, after 16.9 years the population will reach to 24300.

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Answer:

The answer would be A. (Not sure if its A B C or D question but I will have picture below)

Step-by-step explanation:

Hope this helps you! :))

Answer:

2 pairs of parallel sides

The percentage of card  which is not divisor of 45 is 23.077%

Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.

What does the term "percent" mean?

A fraction of one hundred is used to express a quantity or ratio as a percentage. The acronyms "pct," "pct," and occasionally "pc," as well as the percent symbol, "%," are also frequently used.

A % is a numeric expression that lacks both dimensions and a measurement system. The formula to determine the proportion of one number to another is percentage = (Original number/Another number) x 100.

In mathematics, a percentage is a number or ratio that represents a portion of 100. In percentages, 100% is meant. It contains no units.

A %, also known as a decimal or a fraction, is a figure that indicates how many out of 100 we are discussing. For example, "three for the price of one" is a percentage.

Given That:

In the deck of 52 cards You pick randomly 5 , 6 , 7 , 8
so each card has 4 variant
now for getting probability of not getting a divisor of 45 is
total outcomes = 52
observable outcomes = 4+4+4 = 12
its because 5 is a divisor so we didn't include it
hence the probability is 12/52
Percentage of this probability is 0.23077 x 100 = 23.077%

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The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,

E =  -5ax⁶(2ax⁴ + 7x²)

E = -10a²x¹⁰-35ax⁸.

Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

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The equation of line parallel to 2x +3y = 9 and passing through the point (6,4) is 3y + 2x = 24

Gradient or slope is the ratio of the change in y to the change in x between two points in a line.

Gradient tells how steep a line is. A perfectly vertical or horizontal line has no slope.

2x + 3y = 9

making y the subject,

3y = 9 - 2x

y = 9/3 -2x/3

Comparing the above equation, with equation of a straight line, y = mx + c

m, which is slope = -2/3

The new line will also have a slope of -2/3 because they are parallel.

Equation for new line,

y-[tex]y_{1}[/tex] / x - [tex]x_{1}[/tex] = slope

The new point is (6,4)

y - 4 / x -6 = -2/3

By cross multiplying

3(y-4) = -2(x - 6)

3y - 12 = -2x + 12

3y + 2x = 24

In conclusion, the equation o the new line is 3y + 2x = 24

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The answer will be A-3*13.75+30 using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Alisha used her bank card to buy a bus pass 3 times.

Each time she bought a pass it cost her $13.75,

She then deposited $30 into her bank account.

So the expression A-3*13.75+30

A is the initial value.

Hence this will be the expression A-3*13.75+30

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Answer:Qadrant 4

Step-by-step explanation:

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -

y = 4x⁴ + 3x³ + 2x² + 6x + 7

We have the following polynomial -

y = 2x⁴ - 5x³ + x² - 2x + 4

Now -

at x = 0, y = 4

at x = 1, y = 0

at x = 2, y = 32 - 40 + 4 - 4 + 4 = - 4

Refer to the graph attached. The points (0, 4), (1, 0) and (2, - 4) are plotted.

Therefore, the graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

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Answer: B

Step-by-step explanation:

For 237,629 the 6 is located in the hundreds section so its value is approx. 600.

Now when you multiply 600 by 10 you get 6000

So the number of 6 should be located in the 6,000 range which is only in answer B 426,579

Answer:

B- 426,579

Step-by-step explanation:

The value of 6 in 237,629 is 600

600×10=6,000

Which answer has 6,000 as the value of 6?

- Answer B: 426,579

The linear function that could express the relationship between x and y is given as follows:

y = -0.4x + b, b > 0.

The slope-intercept representation of a linear function is given by the rule presented below as follows:

y = mx + b

The coefficients of the function, along with their meaning, are listed as follows:

In the relationship, we have that each time x decreases by 5 , y increases by 2, hence the slope is obtained as follows:

y = -2/5 = -0.4.

The y-intercept is positive, hence the definition of the function is given as follows:

y = -0.4x + b, b > 0.

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Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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Answer:_______________________________

We can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

So, observe the given shapes on the graph:

Therefore, we can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

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The doubling time will be 4.4 years for a city is population is growing by 17% per year.

It's time to double down on the time-doubling equation (pun intended). On the assumption that the growth in amount remains constant from one period to the next, the equation is as follows:

Doubling time = log 2 / log (1 + increase)

It has given that the population of the city is growing back 17% per year.

Doubling time = log 2 / log (1 + increase)

Doubling time = log 2 / log (1 + 17/100)

[tex]\mathrm{Apply\:log\:rule}:\quad \frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)[/tex]

[tex]=\log _{1+\frac{17}{100}}\left(2\right)[/tex]

Doubling time = 4.41484

Round to the nearest tenth decimal.

Doubling time = 4.4

Thus, the doubling time will be 4.4 years for a city is population is growing by 17% per year.

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Answer:

  $920

Step-by-step explanation:

You want to know the original price of a suit on sale for $331.20, if that price represents a 64% discount.

The discounted price is found by subtracting the amount of the discount from the original price. That amount is the product of the original price and the rate of the discount.

  discounted price = price - (discount)·(price)

  discounted price = price · (1 - discount)

The the original price is ...

  price = (discounted price)/(1 - discount) = $331.20/(1 -0.64)

  price = $920

The original price of the suit was $920.00.

<95141404393>

Answer: 17/5 or 3.4

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+3

2/3(3/5)= 2/5

2/5+3=17/5 or 3.4

Hope this helps :)

Answer:

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+32/3(3/5)= 2/52/5+3=17/5 or 3.4

Weight of cat when 13 grams food is fed is 151.11 ounces.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.  LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity.

Given, the formula for weight,

W = 0.86[tex]g^{2}[/tex] - 0.01g + 5.9

    = 0.86[tex](13^{2} )[/tex] - 0.01*13 + 5.9

    = 0.86*169 - 0.13 + 5.9

    = 145.34 - 0.13 + 5.9

    = 151.11 ounces

Therefore, the weight of the cat will be 151.11 ounces.

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The transformations of g(x) that would result in odd functions are (a)-g(x)   , (b)g(2x)  and (d)g(–x) ,

In the question ,

it is given that,

the function is g(x) = 3x³ + x

We know that the function f(x) is called an odd function if f(-x) = -f(x) .

Option(a)

the transformation is given as -g(x)

-g(x)  = -(3x³ + x) = -3x³ - x

g(-x) = 3(-x)³ + (-x) = -3x³ - x

so , this is odd function .

Option (b)

the transformation is given as g(2x)

g(-2x) = 3(-2x)³ + (-2x) = -24x³ - 2x

-g(2x) = -{3(2x)³ + (2x)} = -( 24x³ + 2x ) = -24x³ - 2x

so , this is  odd function .

Option (c)

the transformation is given as g(x)-3

(g(-x) - 3) =  3(-x)³ + (-x) - 3 = -3x³-x-3

-(g(x) - 3) = -{(3x³ + x) -3} = -3x³ - x +3

So, so , this is not an odd function

Option (d)

the transformation is given as g(-x)

g(-(-x)) = g(x) = 3x³+x

-g(-x) = -(3(-x)³ + (-x)) = -(-3x³ - x) = 3x³+x

so , this is odd function .

Therefore, the odd transformations are -g(x)   , g(2x)  and g(–x) ,

The given question is incomplete , the complete question is

The function g(x)=3x³+x is an odd function. Which transformation of g(x) would result in odd functions? Check all that apply

(a) -g(x)

(b) g(2x)

(c) g(x) − 3

(d) g(–x)

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The table of the equivalent ratios is:

Toss     Dollars  

5             2

30           12

45           18

The points are plotted in the diagram below.

Applying the knowledge of ratios we can create a table of equivalent ratios, given that it cost $12 to toss 30 rings.

Therefore, the ratio of dollars to toss is: 12:30 = 2:5.

Number of toss = x

Amount in dollars = y

Substitute k = 2/5 into y = kx to derive an equation to use to create a table of equivalent ratios:

y = 2/5x.

Therefore, wheny = 2:

2 = 2/5(x)

10 = 2x

x = 5 toss

When x = 45:

y = 2/5(45)

y = 18 dollars

The table of equivalent ratios is completed as:

Toss     Dollars  

5             2

30           12

45           18

(5, 2), (30, 12), and (45, 18), which are the points of the equivalent ratio table are plotted as shown in the diagram below.

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The division of negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 is A. 265 over 287

A division simply shows the separation of the number that is given. It should be noted that division is illustrated by the symbol / or ÷.

In this case, negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 will be:

= (- 7 4/7) ÷ (- 8 1/5)

= - 53/7 ÷ (-41 / 5)

= -53/7 × -5/41

= 265 / 287

Therefore the correct option is A.

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Answer: 265/287

I'm not an average brain like other people.

If you do not pay anything on that loan during the year and assuming there is no compounding, the total sum owing is $1,216.50.

When money is given to someone else with the knowledge that it would be returned with interest, it is referred to as a loan. . Lenders will consider a borrower's income, credit rating, and level of debt before deciding to grant a loan.

Money borrowed from a bank or other financial organization is known as a loan. The borrower consents to repay the loan's principal plus interest. There are many different kinds of loans, such as auto loans, student loans, and mortgages.

The amount is 1000(1 + 0.0765), or 1000 x 1.0765, or 1,076.50.

Punishment equals 12(0.02 x 1000) = 12(20) = 240.

The total sum owing is $1,216.50 (1,076.50 plus 240).

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A 98​% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments is

70.9 min < x-bar < 113.3 min

Yes, the result indicate that the treatment is​ effective

Confidence interval gives the probability that the unknown parameter will fall within a stated range

The confidence interval is constructed using the formula

confidence interval = x-bar ± z(s/√n)

Definition of variables

mean, x-bar = 92.1 min

standard deviation, s = 40.5 min

sample size, n = 23

confidence level = 98%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 23 - 1 =22

t score for 98% confidence level and dt of 22 = 2.509

substituting into the formula

= x-bar ± t(s/√n)

= 92.1 ± 2.509 (40.5 / √23)

= 92.1 ± 21.188

= 70.9112 < x-bar < 113.288  

Effectiveness of the treatment

when a test a test more than 2 standard deviations away from mean it is considered unusual. The usual range is

= 92.1 ± 2 * 40.5

= 11.5 < x-bar < 173.5

Hence the treatment is effective

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Answer:

1  :  4

Step-by-step explanation:

There are 4 squares and 16 triangles.

That is,

Squares : Triangles

          4  :  16

To write it in its simplest ratio, divide both by 4.

Squares : Triangles

         1  :  4