Which expression correctly sets up the quadratic formula with x^2+1=2x-3

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

We need to multiply the numerator and denominator by 3-√5 to rationalize the denominator of the fraction. Therefore, the correct answer is option B

To rationalize the denominator of the fraction 6−2√3+√5, we need to eliminate any radicals present in the denominator. We can do this by multiplying both the numerator and denominator by an expression that will cancel out the radicals in the denominator.

In this case, we can observe that the denominator contains two terms with radicals: -2√3 and √5. To eliminate these radicals, we need to multiply both the numerator and denominator by an expression that contains the conjugate of the denominator.

The conjugate of the denominator is 6+2√3-√5, so we can multiply both the numerator and denominator by this expression, giving us:

(6−2√3+√5)(6+2√3-√5) / (6+2√3-√5)(6+2√3-√5)

Simplifying the numerator and denominator, we get:

(6 * 6) + (6 * 2√3) - (6 * √5) - (2√3 * 6) - (2√3 * 2√3) + (2√3 * √5) + (√5 * 6) - (√5 * 2√3) + (√5 * -√5) / ((6^2) - (2√3)^2 - (√5)^2)

This simplifies to:

24 + 3√3 - 7√5 / 20

Therefore, the correct answer is option B.

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The value of the mean excluding the outlier is 130. 5

An outlier can be defined as a data point that differs significantly or greatly from other observations.

It occurs as a result of;

From the information given, we have that;

121, 89, 410, 203, 55, 230, 182, 148, 135, 233, 11, 219, 108, 192

Since, the outlier is 410

The mean is given as;

= 121 + 89+ 203+ 55 + 230+182 + 148 + 135 + 233+ 11+ 219 + 108 + 192/13

Add the values

= 1696/13

= 130. 5

Hence, the value is 130. 5

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Answer:

i think it is true

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

f(-9) means find the value of the function when x = -9, so substitute -9 into the function and solve:

3(-9)^2 + 5(-9) - 14

3(81) + 5(-9) - 14

3(81) + (-45) - 14

243 - 45 - 14

184

Answer:

15.00

Step-by-step explanation:

8+0.75+0.75+1.50+1.50+1.50=

The rating scale used by the restaurant is an example of an ordered categorical scale (c)

An ordered categorical scale is a type of categorical scale where the categories have a specific order or ranking. In this case, the categories "excellent," "very good," "good," and "poor" have a clear order from highest to lowest, indicating the level of customer satisfaction.

A binary/dummy scale, on the other hand, only has two categories, such as "yes" or "no."

An unordered categorical scale does not have a specific order or ranking, such as gender (male or female) or hair color (brown, black, blond, etc.).

A continuous scale, such as height or weight, has an infinite number of possible values and can be measured to any degree of precision.

So, the restaurant's questionnaire uses an ordered categorical scale to measure customer satisfaction.

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The rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

To find the rate of change of the area of a circle when the radius is 2 centimeters, we need to use the formula for the area of a circle, which is \(A = πr^2.\)

We know that the radius is increasing at a rate of 8 centimeters per minute, so we can use this information to find the rate of change of the area.

We can start by finding the area of the circle when the radius is 2 centimeters. Substituting r = 2 into the formula, we get:

A = π(2)^2
A = 4π

So the area of the circle is 4π square centimeters when the radius is 2 centimeters.

Now, let's find the derivative of the area with respect to time. Using the power rule of differentiation, we get:

dA/dt = 2πr (dr/dt)

Substituting r = 2 and dr/dt = 8, we get:

dA/dt = 2π(2)(8)
dA/dt = 32π

So the rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute. To round this to one decimal place, we can use a calculator to get:

dA/dt ≈ 100.5

Therefore, the rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

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The decimal number 3.16 in the form of the simplest fraction is 79/25.

The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.

Consider the decimal number,

Let x = 3.16

Then,

x = 3.16 = 316/100

The fraction then can be simplified as,

x = ( 158 × 2)/ (50 × 2)

x = 158/50

x = ( 79 × 2)/ ( 25 × 2 )

x = 79/25

Hence, the number 3.16 in the simplest fraction is 79/25.

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To calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.

A function from one vector space to another that respects the underlying (linear) structure of each vector space is called a linear transformation.

A linear operator, or map, is another name for a linear transformation.

The zero transformation and identity transformation are two significant illustrations of linear transformations.

An illustration of a linear transformation is the zero transformation, which is denoted by T(x)=(0) for every x.

Also linear is the identity transformation denoted by T(x)=(x).

Find the vector subspace in which the implicit equations are the homogeneous equations produced when the components of the linear transformation formula are equal to zero in order to compute the kernel.

This is the same as finding the null space of the linear transformation matrix.

Therefore, to calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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1. The inequality for the statement is C. f minus 7 over 8 is greater than negative 2 over 3

2. The value of the expression is C. 43 over 24 times j plus 1 over 12.

3. −0.28x − 15.3 = 1.92 will be B. -61.5.

1. The difference between a number and seven eighths exceeds negative two thirds is:

Let the number be f.

This will be:

f - 7/8 > -2/3

2. The expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths will be:

= -1/8j + 2/3 - 5/3j + 9/12

= -1/8j - 5/3j + 9/12 - 8/12

= -3/24j - 40/24j + 1/12

= -43/24j + 1/12

3. −0.28x − 15.3 = 1.92

Collect like term

−0.28x = 1.92 + 15.3

-0.28x = 17.22

x = 17.22 /- 0.28

x = -61.5

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Answer:

32-gon

Step-by-step explanation:

5402 = (n - 2) · 180

5402/180 = n-2

30 = n-2

32 = n

Answer:

32

Step-by-step explanation:

The probability of obtaining double 6 at least once greater than or equal to 1/2.

Let X be the number of times that double 6 appears when two dice are thrown n times in succession. The probability of obtaining double 6 at least once can be expressed as\(P(X ≥ 1) = 1 - P(X = 0\)).

The probability of not obtaining double 6 at all can be expressed as \(P(X = 0) = (35/36)^n\), since the probability of not getting double 6 in a single trial is 35/36.

Therefore, the probability of obtaining double 6 at least once is \(P(X ≥ 1) = 1 - (35/36)^n\). To make this probability at least 1/2, we need to solve the equation \(1 - (35/36)^n ≥ 1/2\), which yields n ≥ 4.92. Therefore, n must be greater than or equal to 5 to make the probability of obtaining double 6 at least once greater than or equal to 1/2.

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Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Answer:y=-2x-9

Step-by-step explanation:

Slope intercept form is y=mx+b

4x+2y=-18

Subtract 4x from both sides:

2y=-4x-18

Divide the entire thing by 2:

y=-2x-9

Answer:

Step-by-step explanation:

En geometría, el segmento es un fragmento de recta que está comprendido entre dos puntos, llamados puntos extremos o finales. Así, dado dos puntos A y B, se llama segmento AB a la intersección de la semirrecta de origen A que contiene al punto B con la semirrecta de origen B que contiene al punto A

Answer:

75.86 %

Step-by-step explanation:

\( \frac{44}{58} \times 100\)

75.86 %

Answer:

Step-by-step explanation:

Answer:

$22.17

Step-by-step explanation:

105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

Answer:

8.612 x 10⁶

Step-by-step explanation:

 Given problem:

                (8.60×10⁶) + (1.2×10⁴)

Solve by the process of scientific notation;

Solution:

            (8.60×10⁶) + (1.2×10⁴)

 Adjust the exponent so that they are of the same value;

     8.6 x 10⁶ = 860 x 10⁴

So;

     (860 x 10⁴) +  (1.2×10⁴)  = (860 + 1.2) x 10⁴

                                           = 861.2 x 10⁴

or

       8.612 x 10⁶

Answer:

0

Step-by-step explanation:

To find the slope, we can take any two x and y coordinate pairs in the table. For this one let's use (-6, 5) and (-3, 5)

The equation for slope is:

\(Slope = \frac{y_2-y_1}{x_2-x_1} \)

We can plug in the x and y values into the equation:

\(Slope = \frac{5-5}{-3-(-6)} =\frac{0}{-3+6} =\frac{0}{3} =0\)

The slope is 0

The expressions that are True are 8 < 10, 10 != 8,  8 <= 10 and 10 >= 8 Thus correct options are b, c, d and e

Let's go through each expression and determine if it evaluates to True or False:

a. 10=8: This expression checks if 10 is equal to 8. Since 10 is not equal to 8, this expression evaluates to False.

b. 8 < 10: This expression checks if 8 is less than 10. Since 8 is indeed less than 10, this expression evaluates to True.

c. 10 != 8: This expression checks if 10 is not equal to 8. Since 10 is not equal to 8, this expression evaluates to True.

d. 8 <= 10: This expression checks if 8 is less than or equal to 10. Since 8 is less than 10, this expression evaluates to True.

e. 10 >= 8: This expression checks if 10 is greater than or equal to 8. Since 10 is indeed greater than 8, this expression evaluates to True.

In summary, the expressions that evaluate to True are:

b. 8 < 10

c. 10 != 8

d. 8 <= 10

e. 10 >= 8

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Answer:

Factoring

Step-by-step explanation:

\(2x^2+7x+3=0\\x^2+7x+6=0\\(x+1)(x+6)=0\\(2x+1)(x+3)=0\\x=-\frac{1}{2} ,x=-3\)

Answer:

5

Step-by-step explanation:

x/5=3/9

9x=45

x=45/9

x=5