Question:
Sara is making hot cocoa. The table represents the number of teaspoons of sugar Sara uses for the number of servings.
1. Graph the table of values.
2. By looking at the graph, how can you tell that the amount of cocoa is proportional to the number of servings?

Answer:

He started with 1.25

Step-by-step explanation:

Joe started with 1.25 if he spends 3 quarters of that which is equal to .75 hell have .50 left

1.25-.75=.50

For the given function f(x) = x^2 - 2x + 1, the difference quotient is {2x + h - 2]

Here we have the function f(x) = x^2 - 2x + 1

And we want to find the difference quotient, which is:

( f(x + h) - f(x))/h

Replacing the actual function there we get:

[ (x + h)^2 - 2*(x + h) + 1 - x^2 + 2x - 1]/h

Now we can simplify the numerator, we will get:

[ x^2 + 2xh + h^2 - 2x - 2h + 1 - x^2 + 2x  -1]/h

[2xh + h^2 - 2h]/h

Taking the quotient we get:

{2x + h - 2]

That is the difference quotient for the function f(x).

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Answer:

Explained through Step-by-step (Showed Work)

Step-by-step explanation:

Question: Show how 2/5 + 4/10 is the same as 4/5

Step-by-step:

2/5 and 4/10 are fractions. (So is 4/5)

To add fractions together, we need the denominators to be the same. This means that the bottom number of 2/5, which is 5 and the bottom number of 4/10 which is 10 have to be the same.

The easiest way to do this is to simplify 4/10. To simplify 4/10, we divide both the numerator (top number) and the denominator (bottom number) by the Greatest Common Factor.

In this case, 2 is the Greatest Common Factor because 4 divided by 2 is 2 and 10 divided by 2 is 5.

so, 4/10 can be simplified to 2/5.

Now, we can add 2/5 and 2/5 together by only adding the numerators. 2 + 2 = 4

so, 2/5 + 2/5 = 4/5

4/5 = 4/5

Therefore, 2/5 + 4/10 is the same as 4/5.

Hope this helps

Graphing the linear functions, it is found that they will have the same height after 5 hours, of 21 inches.

A linear function is modeled by:

y = mx + b

In which:

For each function in this problem, we have that:

Hence the functions are given as follows:

The functions are graphed at the end of the answer, with A(t) in blue and B(t) in black. The intersection of the graphs is at (5,21), which means that they will have the same height after 5 hours, of 21 inches.

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For a standard television of width 15 inches the correct options are

A. h/15=3/4, D) 15/h=4/3 and F) 4/15=3/h​.

Ratio is comparison between two or more quantities in simplest form.

The ratio of screen has a width to height ratio of 4:3.

We know a:b can be written as a/b.

∴ width:height = 4:3 can be written as (width/height) = (4/3).

So, Width = (4/3)height or Height = (3/4)width.

Given the height of a standard television is 15 inches.

So, 15 = (4/3)h or  h/15=3/4 or  15/h=4/3 or 4/15=3/h​.

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Answer:A normal QRS complex measures 0.06 to 0.12 seconds which is 1.5 to 3 small boxes on the EKG strip. When you measure the QRS complex you start by measuring at the END of the PR interval to the END of S-wave.

Step-by-step explanation:

A = \frac{hb_{1} }{2} +  \frac{hb_{2} }{2}  is the solution of this linear equation.

What in mathematics is a linear equation?

Apply the distributive property.

A = [tex]\frac{1}{2} . ( hb_{1} + hb_{2} )[/tex]

Apply the distributive property

A = [tex]\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}[/tex]

Multiply [tex]\frac{1}{2}( hb_{1} )[/tex]

combine h and 1/2

A =[tex]\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )[/tex]

[tex]A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}[/tex]

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Answer:

yall smart

Step-by-step explanation:

Here is a straightforward recursion you may employ to calculate the value.

It should be noted that the formula $2n-1$ for the $1 times n$ case is incorrect if $n=0$.

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The height of the drawing is 4 inches.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension

Scale of the drawing = original dimensions / dimensions of the scale drawing

The first step is to determine the scale of the drawing : 3000 / 10 = 300 feet : 1 inch

The second step is to determine the height of the drawing in the map: 1200 / 300 = 4 inches

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Here is the complete question:

Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches. What is the height of the humid in Julio's drawing?

The equation can be modelled to a real scenario where every purchase can be use to calculate sales tax.

The equation to be modelled is as follows:

y = 1 / 20x

let

x = The total price of purchases

y = The  amount of sales tax

This simply means a person pays 1 / 20 or 5% of every purchase he/she makes.

The total price of the purchase(including tax) is x while the actual amount of tax paid is y.

Let's say you buy a goods worth 400 dollars. Let's calculated the tax as follows:

x = $400

Therefore,

y = 1 / 20 × 400

y = 1 / 20 × 400

y = $20

Hence, the tax for a purchase of 400 dollars is 20 dollars.

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Answer:

I'm pretty sure its A

Step-by-step explanation:

square root of 6 is 2.44948974278 and A is around 2.4

Answer:

hope you like my answer .

Step-by-step explanation:

g(g(x)) mean g of g of x

and same for h

17 times theo will need to measure the flour for  both the recipes.

Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems. B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.

The order of operations (or operator precedence) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression. For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.

As a result, 1 + (2 3) = 7 rather than 1 + (2 3) = 9 is the value assigned to the expression 1 + 2 3. Exponents were first used in the 16th and 17th centuries, when addition and multiplication were given priority. Exponents could only be used as a superscript to the right of their base. Consequently, 3 + 52 = 28 and 3 52 = 75.

first add the total amount of flour =

   =   [tex]1\frac{1}{2} + 2\frac{3}{4}[/tex]

   = 1.5 + 2.75

   = 4.25

no. of times = 4.25 * 4/1 = 17 times

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Answer:

[tex] \sf \large \: x=7 or x=−3[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

|x+8|=|2x+1|

Solve Absolute Value.

|x+8|=|2x+1|

We know eitherx+8=2x+1orx+8=−(2x+1)

x+8=2x+1(Possibility 1)

x+8−2x=2x+1−2x(Subtract 2x from both sides)

−x+8=1

−x+8−8=1−8(Subtract 8 from both sides)

−x=−7

−x/−1 = −7/−1

(Divide both sides by -1)

x=7

x+8=−(2x+1)(Possibility 2)

x+8=−2x−1(Simplify both sides of the equation)

x+8+2x=−2x−1+2x(Add 2x to both sides)

3x+8=−1

3x+8−8=−1−8(Subtract 8 from both sides)

3x=−9

3x/3 = −9/3

(Divide both sides by 3)

x=−3

Check answers. (Plug them in to make sure they work.)

x=7(Works in original equation)

x=−3(Works in original equation)

Answer:

7

Step-by-step explanation:

x+8=2x+1

Subtract x on both sides. Subtract 1 on both sides

x=7

Answer: You should try to figure out the job you want and do that and maybe make a bucket list. Also, live your future out and your hapiness is what counts.

Step-by-step explanation:

The probability that Alysha will win the bet is 0.12013

Let ‘x’ be the number of cute boys from next 20 persons that enter the library

And assume x be the integral values from 0 to 20

Given, the probability is 50% that the next person that enters the library is a cute boy,

total number of trials n=20 and probability of success p=50% = 0.5 = 1/2.

Hence, the p.m.f of X is given by

fX(x) = 20Cx(1/2)x(1−1/2)20−x

=20Cx(1/2)x(1/2)20−x

=20Cx(1/2)20

=20!(20−x)!x!⋅ 1220

=0,1,2,…,19,20

and the probability that X=x,

thus

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20.

In particular, for X=x=12

P(X=12)=20!(20−12)!12!⋅1220

=20!8!12!⋅1220

≈0.12013

Hence, the probability that exactly 12 persons of the next 20 persons that walk into the library are cute boys is only approximately 0.12013.

Therefore, 0.1203 is less than 0.5, then it is more probable that Alysha will lose the bet than win it.

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The equation in slope intercept form to represent the relationship is y = 12x + 15

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

Where m is the slope (rate of change) and b is the initial value of y.

Let y represent the total amount paid for renting a boat for x hours.

From the table, using the points (1, 27) and (3, 51):

The equation of the line is given as:

y - 27 = [(51 - 27)/(3 - 1)](x - 1)

y = 12x + 15

The equation in slope intercept form to represent the relationship is y = 12x + 15

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Answer:

t=

1008−13x(131x+414)

​___________________

             5

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Play 1: Quarterback was sacked for a loss of 4 yards

Play 2 : Another loss of 10 yards

Play 3: a gain of 12 yards

Write an addition expression to represent the situation. Then find the sum and explain its meaning.

A loss of 4 yards = - 4

Loss of 10 yards = - 10

Gain of 12 yards = + 12

Addition expression for the scenario :

(-4) + (-10) + 12

Result :

-4 + (-10) + 12

= - 4 - 10 + 12

= - 14 + 12

= - 2

Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.

The probability that the inspector finds exactly one nonconforming part is 0.4091.

Combination is a selection of items from a collection in which the order of selection is irrelevant. Probability is defined as the ratio of favorable outcomes to total outcomes.

Now, according to the question;

Let X represent the event in which the inspector discovers a nonconforming part.

An inspector selects three parts at random from among the twelve, and two cavities have been affected by a temperature malfunction, resulting in parts that do not meet specifications.

The total number of ways to select three parts from a total of twelve is ¹²C₃ = 220.

The number of possible ways for an inspector to identify just one defective part is:

²C₁×¹⁰C₂ = 2×45

²C₁×¹⁰C₂ = 90

The likelihood that the inspector will discover exactly one nonconforming part is provided by:

P (x=1) = (²C₁×¹⁰C₂)/¹²C₃

          = 99/220

P (x=1) = 0.4091

The inspector has a 0.4091 chance of finding exactly one nonconforming part.

Now, the probability that inspector finds no nonconforming parts is given by:

P (x=0) = ¹⁰C₃×¹²C₃

           = 120/220

P (x=0) = 0.5455

Therefore, the inspector has a 0.5455 chance of finding exactly none nonconforming part.

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The complete question is-

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 12 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An inspector chooses 3 parts from among the 12 at random. Two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications. what is the probability that the inspector finds exactly one nonconforming part?

The statement " Every integer is also a n irrational number" is false

Given,

The statement a

"Every integer is also a real number"

We know every integer is also is also a real number so the statement is true

Statement b

"Every irrational number is also a real number "

We know every irrational number is real number so the statement is true

Statement c

"Every integer is also an irrational number"

We know every integer is rational number but every integer is not irrational number so the statement is false

Statement d

"No irrational number is rational"

We know no irrational number is rational number so the statement is true

Hence, The statement " Every integer is also a n irrational number" is false

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Kyla should babysit for 9.5 hours to buy the dress.

Double number line represents the comparison of numbers by representing them in equal ratio. The required double number line for the question is attached as figure.

The row I indicates the amount earned and row II indicates the number of hours Kyla should babysit. As is evident from the double number line, the average of last two amounts is the amount required by Kyla. Calculations are as follows -

Required amount = (49.5 + 55)/2

Required amount = 52.25

Now, the time between last two columns of row II will also be taken as average for calculation. So, time required to earn 52.25 after earning 49.5: (9 + 10)/2

Time = 0.5

Total time required to babysit = 9 + 0.5

Total time = 9.5 hours

Thus, Kyla should babysit for 9.5 hours to buy the dress.

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The complete question is -

While shopping, Kyla found a dress that she would really like, but it cost $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit $52.25 to buy the dress. Use a double number line to support your answer.

Answer:

x=6/5

Step-by-step explanation:

6=2x+3x

5x=6

x=6/5

Both games A as well as B are unfair.

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