Heather works as a waitress at her family's restaurant she works every 2 hours every morning during the breakfast shift and returns to work each evening for the dinner shift in the last 4 days she worked 28 hours if Heather works the same number of hours each evening how many hours did she work during each dinner shift?

We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water

To make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.

We can do this by using the following formula:

Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.

Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres

Now we can use the formula to find out how much water is needed:

Water = 2 litres - 0.25 litres = 1.75 litres

Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.

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To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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The probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 3/4.

The probability that the gambler has to play at least n rounds of the game before getting his first win is equal to 1 - (the probability of winning in the first n-1 rounds). To calculate the probability of winning in the first n-1 rounds, use the following formula:
P = (1/2)^(n-1)
Where P is the probability of winning in the first n-1 rounds.
For example, if the gambler has to play at least 3 rounds of the game, the probability of winning in the first 2 rounds is equal to (1/2)^(3-1) = (1/2)^2 = 1/4.

So, the probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 1 - (1/4) = 3/4.

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we have proved that if r is a symmetric relation on a set A, then r is symmetric.

To prove that if r is a symmetric relation on a set A, then r is symmetric, we need to show that if (x, y) ∈ r, then (y, x) ∈ r for all x, y ∈ A.

Let's assume that r is a symmetric relation on set A, meaning that for any elements x, y ∈ A, if (x, y) ∈ r, then (y, x) ∈ r.

Now, consider an arbitrary pair (x, y) ∈ r. By the assumption that r is symmetric, we know that (y, x) ∈ r.

This shows that if (x, y) ∈ r, then (y, x) ∈ r, which is the definition of symmetry for a relation.

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Answer:

no false it has infinite

Answer:

692 that is is answer

Step-by-step explanation:

Answer: 672x³y⁶.

Step-by-step explanation:

                            Newton's binomial formula

                                  \(\displaystyle\\\boxed {\sum\limits_{k=1}^n=C^{k-1}_na^{n-k+1}b^{k-1}}\)

\(\displaystyle\\(2x+y)^9,\\Hence,\\a=2x\ \ \ \ b=y\ \ \ \ n=9\ \ \ \ k=7.\\C^{7-1}_9(2x)^{9-7+1}y^{7-1}=C_9^6(2x)^3y^6=\frac{9!}{(9-6)!*6!} *2^3x^3y^6=\\\\=\frac{6!*7*8*9}{3!*6!} *8x^3y^6=\frac{7*8*9}{1*2*3} *8x^3y^6=7*4*3*8*x^3y^6=\\\\=672x^3y^6.\)

Answer:

y = 3x + 30

Step-by-step explanation:

This is what the table should look like.

Number of Bars Sold (x)           Total Earnings (dollars) (y)

0                                                 30

1                                                  33

2                                                 36

3                                                 39

When x = 0, y = 30. The point (0, 30) is the y-intercept.

As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.

A change of 1 in x results in a change of 3 in y.

That is a slope of 3 since

slope = (change in y)/(change in x)

The equation of a line in slope-intercept form is

y = mx + b

We have m = 3 and b = 30, so the equation is

y = 3x + 30

Answer: 3x + 30

The equivalent equation is x² + 20x = -102

The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;

x² + 20x + 81 = -21

collect similar terms together

x² + 20x + 81 + 21 = 0

x² + 20x + 102 = 0

The equation can also be written as x² + 20x = -102

Thus, the equivalent equation is x² + 20x = -102

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RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

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a) The simple harmonic motion of the bobber can be modeled by the equation:

y(t) = A sin(ωt + φ)

where y is the displacement of the bobber from its equilibrium position at time t, A is the amplitude of the oscillation, ω is the angular frequency, and φ is the phase angle.

From the given information, we know that the amplitude A of the oscillation is 1.5 inches and the period T is 3 seconds. The angular frequency is related to the period by the formula:

ω = 2π/T

Substituting the values, we get:

ω = 2π/3

The phase angle φ can be determined from the initial condition that the bobber is at its high point at t = 0. At the high point, the displacement is maximum and positive, so we have:

y(0) = A sin(φ) = A

Substituting the values, we get:

1.5 = 1.5 sin(φ)

Solving for φ, we get:

φ = sin⁻¹(1) = π/2

Substituting the values of A, ω, and φ in the equation for simple harmonic motion, we get:

y(t) = 1.5 sin(2πt/3 + π/2)

b) The midpoint between the high point and the low point of the bobber corresponds to a displacement of 0.5*A = 0.75 inches.

The bobber reaches this point twice during each period, once while going up and once while going down. We need to find the time t when the bobber is going down and reaches the midpoint for the first time.

At the midpoint, the displacement of the bobber is given by:

y(t) = 0.75

Substituting the equation for y(t), we get:

1.5 sin(2πt/3 + π/2) = 0.75

Simplifying, we get:

sin(2πt/3 + π/2) = 0.5

Using the identity sin(π/6) = 0.5, we can rewrite the equation as:

sin(2πt/3 + π/2) = sin(π/6)

The general solution for this equation is:

2πt/3 + π/2 = π/6 + 2πk or 2πt/3 + π/2 = 5π/6 + 2πk

where k is an integer.

Solving for t in each case, we get:

t = (π/18 - π/2)/ (2π/3) + k or t = (5π/6 - π/2)/ (2π/3) + k

Simplifying, we get:

t = 1/4 + k/3 or t = 5/4 + k/3

The first solution corresponds to the time when the bobber is going down and reaches the midpoint for the first time, so we have: t = 1/4 seconds.

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

-3 is slope of this line

Step-by-step explanation:

You can take two points on this line and find the slope by slope formula ...

hopefully it will help you

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A unit vector u in the direction opposite of ⟨−6,−3,−1⟩ is ⟨6/√46, 3/√46, 1/√46⟩. To find a unit vector in the opposite direction of ⟨−6,−3,−1⟩.

We first need to find the magnitude of this vector:
||⟨−6,−3,−1⟩|| = √((-6)^2 + (-3)^2 + (-1)^2) = √46
Then, to find the opposite direction, we simply negate each component ⟨6, 3, 1⟩. Finally, to find the unit vector in this direction, we divide by the magnitude:
u = ⟨6/√46, 3/√46, 1/√46⟩

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Answer:

Step-by-step explanation:

I would have said circle, but it has no base, so it has to be a hedron

Randy might have probably cut a cube, since only it has congruent perpendicular/parallel to the base cross sections

Answer:

i would love 2 answer this but...

Step-by-step explanation:

but you lied by saying 100 points um i only see  5 points.

Answer:

1. 4

2.2

Step-by-step explanation:

cause I'm smart that's right

The indefinite integral of x^11 sin(3x^(13/2)) dx is -(2/13) * \(x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C\), where C is the constant of integration.

Substituting these into the integral, we get: integral of x^11 sin(3x^(13/2)) dx

= integral of sin(u) * x^11 * (2/39)u^(-9/13) du

= (2/39) integral of sin(u) * x^11 * u^(-9/13) du

Next, we can use integration by parts with u = x^11 and dv = sin(u) * u^(-9/13) du. Solving for dv, we get:

dv = sin(u) * u^(-9/13) du

= (1/u^(4/13)) * sin(u) du

Solving for v using integration, we get:

v = -cos(u) * u^(-4/13)

Now we can apply integration by parts:

integral of sin(u) * x^11 * u^(-9/13) du

= -x^11 * cos(u) * u^(-4/13) - integral of (-4/13) * x^11 * cos(u) * u^(-17/13) du

Substituting back u = 3x^(13/2) and simplifying, we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/39) * x^11 * cos(3x^(13/2)) * (3x^(13/2))^(-4/13) - (8/507) * integral of x^11 cos(3x^(13/2)) * x^(-3/13) dx + C

Simplifying further, we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) - (8/507) * integral of x^(-28/13) cos(3x^(13/2)) dx + C

Finally, we can evaluate the last integral using the same substitution as before, and we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C

Therefore, the indefinite integral of x^11 sin(3x^(13/2)) dx is -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C, where C is the constant of integration.

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**my previous answer was wrong

Answer:

True

Step by Step explanation:

the absolute value bars are limiting the y value not x so any number between negative infinity and positive infinity can be in the domain

The smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

The nullity of a matrix is the dimension of its null space, which represents the set of vectors that satisfy the equation A * x = 0, where A is the matrix and x is a vector.

The nullity of a matrix can range from 0 to the number of columns in the matrix. In this case, since A is a 3 x 8 matrix, the minimum possible value of nullity(A) is 0, indicating that the null space is trivial and contains only the zero vector. This occurs when the matrix is full rank, meaning that its columns are linearly independent.

On the other hand, the maximum possible value of nullity(A) is 8, which would occur if the matrix has rank 0. In this case, all the columns of the matrix are linearly dependent, and the null space spans the entire vector space of size 8.

Therefore, the smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

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Answer:

25ft

Step-by-step explanation:

15/5 = 3

75/3 = 25

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Answer:

25 ft

Step-by-step explanation:

The kid's shadow is 15/5 = 3 times longer than his height.

Therefore, a tree with a 75 ft shadow should be 3 times shorter than its shadow.

=> 75/3 = 25 ft

Answer:

4x^3+26x^2-39x-195

Step-by-step explanation:

Answer:

-22x + 4x²- 11

Step-by-step explanation:

1(4x²-23x-16) (x+5)

4x²-23-16 + x +5

-23+ x +4x² - 16+5

-22x + 4x² - 11

Answer:

2

Step-by-step explanation:

Brainliest?!?!?!?

The answer to this would be 2.

Step by Step Explanation

Equation: 11x+2=24

Variable for the missing number: x

To do this, I suggest writing out an equation with the variable X to represent the missing number that we are trying to find. The equation would look something like this: 11x+2=24.

From here, to solve the equation, subtract 2 from both sides, which would then get the equation to be 11x=22. From here, you would then divide both sides by 11 to get the variable on it's own, which would be x=2. Since x is the variable that we are using to represent the missing number, the missing number would be 2.

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:  4/7

This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.

Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7

Notice that multiplying the original and perpendicular slopes together gets us -1

(-7/4)*(4/7) = -1

This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.

Answer:

\(\frac{4}{7}\)

Step-by-step explanation:

Given

y = - \(\frac{7}{4}\) x ( in the form y = mx , where m is the slope )

slope m = - \(\frac{7}{4}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{7}{4} }\) = \(\frac{4}{7}\)

Answer:5.50 a hour

Step-by-step explanation:

The number of individuals in Chicago that will respond positively to Program 2 is 22 out of 25.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Given that the chances of a positive response from Chicago residents to two government programs are 65.9% for Program 1 and 87.5%  for Program 2, the likelihood of a positive response for Program 2 given that the person is from Los Angeles must be calculated as follows:

87.5 100 = X

43.75 / 50 = X

21.875 / 25 = X

Therefore, 22 out of 25 individuals in Chicago  will respond positively to Program 2.

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The statement "the interquartile range is least influenced by an outlying value in the data set" is true.

The range is simply the difference between the maximum and minimum values in a data set.

The variance is a measure of the spread of a data set, and is calculated by finding the average of the squared differences between each data point and the mean of the data set.

The interquartile range, on the other hand, is a measure of the spread of the middle 50% of the data set. It is calculated by finding the difference between the upper quartile and the lower quartile.

Because the interquartile range only takes into account the middle 50% of the data, it is less influenced by outliers than the range and variance. This is because outliers can greatly impact the range and variance, but have little effect on the interquartile range.

In conclusion, the interquartile range is a more robust measure of spread for a data set, as it is less influenced by outliers.

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Hi! To solve for the unknown value in the equation "x + 61 + 42 = degrees", follow these steps:

1. Combine the known values (61 and 42) by adding them together: 61 + 42 = 103.
2. Rewrite the equation with the combined values: x + 103 = degrees.
3. To isolate the unknown value (x), subtract 103 from both sides of the equation: x = degrees - 103.

So, the unknown value x can be found by subtracting 103 from the given degrees value.

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Answer:

Term to add is (3/8)^2 = 9/64

Step-by-step explanation:

Here, we want to know the value that must be added to make the equation a perfect square.

x^2 - 3/4x = 5

x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5

x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2

= (x-3/8)^2 = 5 + (3/8)^2

So the term to add is (3/8)^2 = 9/64

Answer:

\(\dfrac{9}{64}\)

Step-by-step explanation:

Given the equation: \(x^2-\frac{3}{4}x=5\)

To make the left hand side of the equation a perfect trinomial, we follow these steps.

Step 1: Divide the coefficient of x by 2.

Coefficient of x \(=-\frac{3}{4}\)

\(-\frac{3}{4} \div 2 =-\frac{3}{8}\)

Step 2: Square your result from step 1

\(\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}\)

Therefore, to make the Left-Hand side a  perfect-square trinomial, we add 9/64.