A table showing Gallons of Solution, Acid Concentration, and Amount of Acid. The first row shows 10 percent Acid, and has the entries, 0.5, 0.10, and 0.10 times 0.5. The second row shows 35 percent, and has the entries, g, 0.35, and 0.35 g. The third row shows. Mixture, and has the entries, g plus 0.5, 0.15, and 0.15 left parenthesis g plus 0.5 right parenthesis. (0.10)(0.5) + 0.35g = 0.15(g + 0.5) Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the 35% acid solution should Eli add? gallon

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

In order to find the weight of the horse in grams, we just need to convert 800 kilograms to grams.

Since 1 kilogram is equal to 1000 grams, we can multiply the value in kilograms by 1000 to convert it to grams.

So we have:

Therefore the weight in grams is 800,000 grams.

Answer:

because 2 and 3 are all prime factors

Step-by-step explanation:

i can't see the photo.

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

The base of the exponent tells us the common ratio of this geometric series is 1/2. The start value of n=7 tells us the first term in the series we're evaluating is ...

  a1 = 2(1/2)^(7-4) = 2·(1/2)^3 = 2/8 = 1/4

The formula for the infinite sum of a geometric series is ...

  S = a1(1/(1-r))

Filling in the values we know, this is ...

  S = (1/4)(1/(1 -1/2)) = (1/4)(2) = 1/2

The infinite sum is 1/2.

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

Answer:

97

Step-by-step explanation:

Answer:

y=560-40x

Step-by-step explanation:

you start with 560 pages and you read 40 pages a day so you take away 40 pages from the total per x.

Answer:

Color in 40 of the blocks

Step-by-step explanation:

The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

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The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

The two lines do not intersect, and are parallel to one another on a graph.

Step-by-step explanation:

A system of equations consists of two or more equations with two or more variables. The solution to these variables must satisfy all of the variables in the equations in the system at the same time. Usually, all the equations in the system are considered and solved simultaneously. A linear equation might have a unique solution, an infinite solution, or no solution at all.

A system with exactly one solution is called a consistent system, and it is said to be independent, and the graph of its lines intersects at the point that is the solution to the equations. A system with an infinite number of solution is said to be dependent and the lines are coincident on a graph.

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, and the lines are parallel to one another on the graph.

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

The standard form of writing linear equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

For instance, the system of equations y = 2x + 7 and y = 2x - 3 have no solutions because they have the same slope.

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Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

it's 460 I think, because the last number is a five so if it's over a five you round up

Answer:

need more points to do this

Step-by-step explanation:

Step-by-step explanation:

2/5×7500

2×1500

3000

RM=3000

The solution of the unknown equation n + 6 = 13 will be n = 7.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is

n +6=13

To solve for n

Subtract 6 on both sides;

n +6=13

n = 13- 6

n = 7

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Answer:

??????????

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

5 x 4 =

5x 3=

5 x 4 =

5 x 4 =

15 x 1 =

12 x 3 =

(ADD ALL TOGETHER)

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

The variables of the expression  4x-2y+3 are x and y

What is Variables?

Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Variables include things like age, sex, business revenue and expenses, country of birth, capital expenditures, class grades, eye color, and type of vehicle.

Given expression,

4x-2y+3

Variable is a representation of an unknown numerical value in an equation or algebraic statement by a symbol, typically a letter.

In this expression

4x - 2y + 3

The variable in this expression is x and y

Hence, the variables are x and y

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Are the characteristics of the vectors A and B in the following scenarios when A + B = C is A2 +B2 + 2AB

A vector is an object with the magnitude and direction but no specific position in mathematics. Examples of that numbers include shock and velocity. A vector is an entity that has both directions and magnitude. A vector can be thought of geometrically as a pointed line segment, whose length relates to the vector's magnitude and whose direction is indicated by an arrow. A quantity or phenomenon known as a vector has two distinct properties: size and direction. The phrase also entails the mathematical or geometrical representation of these numbers. Electric currents, weight, inertia, force, and velocity are examples of vectors in nature.

given

From the given condition,

ABcosθ=ABsinθ

So, θ=45 ∘

Magnitude of A+B will be,

∣A+B∣= A 2 +B 2 +2ABcos45 ∘

= A 2 +B 2 +2AB× 2

​= A2 +B2 + 2AB

Are the characteristics of the vectors A and B in the following scenarios when A + B = C is A2 +B2 + 2AB

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​The complete question is :-

g) If A + B = C, what are the properties of vectors A and B in the following cases?

A+B=C

A-B=C

A²+ B² = C²

Note: A is the magnitude of vector A, and B is the magnitude of vector B

Answer:

original cost is 135$

Step-by-step explanation:

100%×54$÷40%= 135

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p-\frac{3}{4}=4 } \end{gathered}$}}\)

Add 3/4 to both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=4+\frac{3}{4} } \end{gathered}$}}\)

Convert 4 to the fraction 16/4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16}{4} +\frac{3}{4} } \end{gathered}$}}\)

Since 16/4 and 3/4 have the same denominator, add their numerators to add them together.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16+3}{4} \longmapsto \ \ Add } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{19}{4} } \end{gathered}$}}\)

Multiply both sides by 8/5, the reciprocal of 5/8.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19}{4}\times\left(\frac{5}{8}\right) } \end{gathered}$} }\)

Multiply 19/4 by 8/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19\times8}{4\times5 }\longmapsto \ Multiply } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} } \end{gathered}$}}\)

We reduce the fraction 152/20 to its minimum expression by extracting and canceling 4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} \ \ \longmapsto \ p=\frac{152\div4}{20\div4}=\frac{38}{5} } \end{gathered}$}}\)

9514 1404 393

Answer:

  $5

Step-by-step explanation:

If L represents Lisa's earnings, we have ...

  $25 = 5L

Dividing both sides of this equation by 5 gives ...

  $25/5 = (5L)/5

  $5 = L

Lisa earned $5.

The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

\(\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151\)

Step-by-step explanation:

So we know that Θ is acute and that:

\(\cos(\theta)=6/7\)

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

\(\sin^2(\theta)+\cos^2(\theta)=1\)

We know that cosine is 6/7. Substitute:

\(\sin^2(\theta)+(\frac{6}{7})^2=1\)

Square:

\(\sin^2(\theta)+\frac{36}{49}=1\)

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

\(\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}\)

Subtract:

\(\sin^2(\theta)=\frac{13}{49}\)

Take the square root of both sides:

\(\sin(\theta)=\pm\sqrt{\frac{13}{49}}\)

Simplify:

\(\sin(\theta)=\pm\frac{\sqrt{13}}{7}\)

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

\(\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151\)

and we're done!

The two symbols that represents inequalities are < and >. The first one is know as less than, while the second is know as greater than.

The symbol less than(<) represents that the number on the left side of the inequality is smaller than the number on the right side

The symbol greater than(>) represents that the number on the left side of the inequality is greater than the number on the right side

On this example, a is "bigger" than b.

Back to our problem, Janet finished the race in 66 minutes and Molly finished ahead of Janet, with a faster time. Since we're representing Molly's time as t, since Molly finished with a faster time this means that t is smaller than Janet's time, which is 66 minutes. Writing this as an inequality, we have

Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?

(Scroll Down for Answer!)

We know that n = q - 13.

The value equation is

5n + 25q = 535 (we work in cents)

Now substitute for n and get

5(q - 13) + 25q = 535

5q - 65 + 25q = 535

30q = 600

q = 20 so that

n = 7

Step-by-step explanation:

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9