1. There are 9 tables with 3 candles on each table in the dining hall.
Which expressions can be used to find the number of candles in the dining hall?

Answer:

(3,7) ———— choice 4

Step-by-step explanation:

x - 2y = -11 ————(1)

5x + 2y = 29 ————(2)

Solve for x using first equation.

x = -11 + 2y          Plug in for x in second equation

5(-11 + 2y) + 2y = 29        Solve for y

-55 + 10y + 2y = 29

12y = 84

y = 7         Plug in for y using first equation

x - 2(7) = -11       Solve for x

x - 14 = -11

x = 3

I hope this helped and please mark me as brainliest!

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

If d < 0, we get:

or

or

Answer:3048.7804878

Step-by-step explanation:

I took the same test p.s. you may need to round.

Answer: x = 8

Step-by-step explanation:

This is a very, very, very simple algebra problem. I assume you know the basics of algebra.

First, move 8 to the other side:

3x = 24

divide by 3 on both sides

x = 8

There! Would it kill you to give me a quartic question to spice my life up?

If the total degrees of freedom (dftotal) in an analysis of variance comparing three treatment conditions is 32, the group size for each condition needs to be determined.



To determine the number of individuals in each group, we need to divide the total number of individuals (dftotal) by the number of treatment conditions (groups).

Given that dftotal = 32 and there are three treatment conditions (groups), we can divide dftotal by the number of treatment conditions to find the number of individuals in each group.

Number of individuals in each group = dftotal / number of treatment conditions

Number of individuals in each group = 32 / 3

Number of individuals in each group ≈ 10.67

Since the groups must have the same size, we need to round the result to the nearest whole number. Therefore, there are approximately 11 individuals in each group.

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Answer:

The square root of 144 = 12

Step-by-step explanation:

12 X 12 = 144

A square root of a number is a value that, when multiplied by itself, gives the number.

Answer:

x=1

Step-by-step explanation:

and yes you r weird

...

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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The next step is Add 1 to both sides of the inequality.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

14 > x + 7(x+1) -1

14 > x + 7x + 7 -1

now, Add 1 to both sides of the inequality.

14+ 1 > x+ 7x + 7- 1 +1

15> x+ 7x +7

again, Subtract 7 from both sides of the inequality.

15 - 7 > x+ 7x + 7 -7

8 > x+ 7x

and, 8 > 8x

1>x

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Answer:

4500 sec

Step-by-step explanation:

1hr 15min= 75 min

75 x 60=4500

The sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

In the unit circle, the reference angle is the acute angle formed between the positive x-axis and the terminal side of an angle measured counterclockwise. The sine of an angle is defined as the y-coordinate of the point on the unit circle corresponding to that angle.

In the second quadrant of the unit circle, angles have values between 90 degrees and 180 degrees (π/2 and π radians). Since the reference angle is always the acute angle, the reference angle for an angle in the second quadrant is the angle formed between the terminal side and the negative x-axis.

When comparing the sine of an angle in the second quadrant to the sine of its reference angle, there is a sign difference. The sine function is positive in the first and second quadrants. However, in the second quadrant, the y-coordinate (sine value) is negative because it lies below the x-axis. This means that the sine of an angle in the second quadrant is the negative value of the sine of its reference angle.

Mathematically, if θ is an angle in the second quadrant, and α is its reference angle, then:

sin(θ) = -sin(α)

This relationship holds true because the y-coordinate (sine value) in the second quadrant is the negative value of the y-coordinate in the first quadrant. So, the sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

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The type of number -1 is (A) counting and integer; (C) whole and rational; (D) rational and integer.

Given the number is -1.

It is clear that it has order so the number is counting.

It is a negative integer.

It is not fraction that is a whole number.

It can be expressed as -1/1 where denominator is not equal to 0 so it is Rational number.

But it is not natural number as natural starts from 1,2, ......

So the correct choices are (A), (C), (D).

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answer is  y ≤ \(\frac{1}{3}x (-4)\)

Given that,

Area of shaded inequality below solid line is positive

and  y-intercept of the solid line is equal to  - 4

therefore,

The inequality must be

y ≤ \(\frac{1}{3}x (-4)\)

In Mathematics, inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system. Let us see an example to understand it.

the Linear inequality: 2x – y >1, x – 2y < – 1

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

here is given step to easily find the value of inequality:

Step 1: The inequality is already in the form that we want. That is, the variable y y is isolated on the left side of the inequality.

Step 2: Change inequality to equality. Therefore, y > x + 1y>x+1 becomes y = x + 1y=x+1.

Step 3: Now graph the y = x + 1y=x+1. Use the method that you prefer when graphing a line. In addition, since the original inequality is strictly greater than symbol, \Large{>}>, we will graph the boundary line as a dotted line.

Step 4: The original inequality is y > x + 1y>x+1. The greater than symbol implies that we are going to shade the top area or region.

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The mystery number is 105.We know that the number has 5 ones in it and comes after 102 but before 108.It is also the number that comes after 102 and has 5 ones.

By checking the numbers between 102 and 108 that have five ones in them, we can find the mystery number.

102 has only two ones in it, so it is eliminated.

103 has three ones in it, so it is eliminated.

104 has four ones in it, so it is eliminated.

105 has five ones in it, so it is a possible answer.

106 has only two ones in it, so it is eliminated.

107 has only one one in it, so it is eliminated.

108 has no ones in it, so it is eliminated.

The mystery number is, therefore, 105.

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Answer:

The answer is 21 1/3

Step-by-step explanation:

First you have to take 5/9 and subtract it by 1/5 and you will get 16/45. Then you multiply 60 times 16/45 and get 21 1/3

Carter played 21 1/3 minutes more than Ryan.

Step-by-step explanation:

First you find your total duration

Total duration of the game played =

60 minutes

Second find the number(s)

Part of the game played by Ryan =

1/5 of the game

Third first number x  total duration

Duration of game played by Ryan =

1/5 x 60 = 12 minutes

Fourth  find the second number(s)

Part of the game played by Carter

5/9

Fifth  second number x total duration

Duration of game played by Carter =

5/9 x 60 = 100/3 = 33 1/3

Sixth do mathematical operations

Difference between their duration =  or 21.33 minutes

33 1/3  - 12 = 21 1/3

Seventh your answer

the answer is 21 1/3

Eighth review your work

*lazy*

Ninth answer the question

Carter played 21 1/3 minutes than Ryan

The zeros of a polynomial function are the roots of the polynomial function.

See below for the proof that: \(\mathbf{f(-\frac{4}{3}) = 0}\)

Let the function be f(x).

Equate 3x + 4 to 0.

So, we have:

\(\mathbf{3x+ 4 = 0}\)

Subtract 4 from both sides

\(\mathbf{3x= -4}\)

Divide both sides by 4

\(\mathbf{x= -\frac{4}{3}}\)

The above equation means that:

If 3x + 4  is a factor of f(x), then:

\(\mathbf{f(-\frac{4}{3}) = 0}\)

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The given LTI (Linear Time-Invariant) system with impulse response \(h(t) = e^{-(t)} \cdot (t-6)\) is not causal but stable. A system is considered causal if its output at any given time depends only on the current and past inputs.

In this case, the impulse response \(h(t)\) includes the term \((t-6)\), which indicates a dependence on future values of \(t\). Therefore, the system is not causal.

A system is considered stable if its output remains bounded for any bounded input. The impulse response \(h(t) = e^{-(t)} \cdot (t-6)\) contains the exponential term \(e^{-(t)}\), which decays to zero as \(t\) increases. This ensures that the system's response does not grow unbounded for bounded inputs, indicating stability.

Based on these explanations, the given LTI system with impulse response \(h(t) = e^{-(t)} \cdot (t-6)\) is not causal but is stable.

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Answer:

\(2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5\)

Answer:

1

Step-by-step explanation:

2*6+4-3*5

12+4-15

16-15

1

On solving the provided question, we can say that in the triangle LM = 2*(IJ) x = |-6| = 6 and LM = 4x + 8 = 32 units

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given,

LM = 4x + 8 and IJ = 5x +22

in the triangle LM = 2*(IJ)

4x + 8 = 2*(5x + 22)

4x + 8 = 10x + 44

6x + 36

x = |-6| = 6

LM = 4x + 8 = 32 units

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Answer:

dashed

Step-by-step explanation:

when its < or > its dashed, when its the other ones its solid

The F ratio in a completely randomized ANOVA is a) MSTR/MSE.

The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.

The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.

In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.

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Answer:

The least is 9950 and the largest is 10049 people

Step-by-step explanation:

If the number is rounded to the nearest hundred, the smallest number of people that could have attended the parade is 9950 because, rounding up the number 9950 to the nearest hundred would give 10000. If the number 9950 is decreased by 1 (9949), and rounded up to nearest hundred you won't get 10000. Hence the smallest number of people is 9950

While the largest number of people is 10049. 10049 to the nearest hundred  is 10000. A further increase to the number 10049 would give a number greater than 10000 when rounded to nearest hundred.

The series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other is a combination of translation and rotation that involves 150 degrees. A transformation refers to the process of changing an object's position, size, or shape.

Translation, reflection, rotation, dilation, and skew are the five basic transformation types that modify an object.In geometry, congruent shapes have the same shape and size. To superimpose one shape onto another means to make them coincide with each other.

The following series of transformations would show that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other: Step 1: Translation. Translate the parallelogram ABCD by 5 units to the right and 6 units down to obtain parallelogram A1B1C1D1.Step 2: Rotation. Rotate parallelogram A1B1C1D1 by 150 degrees counterclockwise around point A1 to obtain parallelogram A2B2C2D2.Step 3: Translation. Translate parallelogram A2B2C2D2 by 8 units to the right and 3 units up to obtain parallelogram A'B'C'D'.Thus, the series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other involves translation and rotation, with a rotation of 150 degrees.

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Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76

There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:

13 x 12 x 11 = 1,716

So there are 1,716 possible rankings.

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

A heavy rope, 40 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 110 ft high. The work is done in pulling half of the rope to the top of the building is 56,272.8 ft-lb.

First, we need to find the weight of half of the rope. Since the rope weighs 0.8 lb/ft, half of it would weigh:

(40 ft / 2) * 0.8 lb/ft = 16 lb

Next, we need to find the distance over which the weight is lifted. Since we are pulling half of the rope to the top of the building, the distance it is lifted is: 110 ft

Finally, we can calculate the work done using the formula:

Work = Force x Distance x Gravity

where Force is the weight being lifted, Distance is the distance over which the weight is lifted, and Gravity is the acceleration due to gravity (32.2 ft/s^2).

Plugging in the values, we get:

Work = 16 lb x 110 ft x 32.2 ft/s^2

Work = 56,272.8 ft-lb

Therefore, the work done in pulling half of the rope to the top of the building is 56,272.8 ft-lb.

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Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

Answer:

She left, 875

Step-by-step explanation:

She are 3/4 of berries then She left 1/4 to jelly

\( \frac{1}{4} \times 3.5 = .875\)

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Answer:

total pints= 7/2

Ate 3/4 of 7/2 which is 3/4×7/2 = 21/8

left 1/4 of 7/2 which is 1/4×7/2 = 7/8

answer= 7/8