Julia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 316 glasses. There are currently 286 glasses. If each set on sale contains 6 glasses, use the drop-down menu below to write an inequality representing ss, the number of sets of glasses Julia should buy.

The rule for g(x) = f(x-1)-3 is g(x) = (x-1)⁶-3(x-1)³ - 1

A function is an expression, rule, or law that defines a relationship between an independent variable and a dependent variable. Based on the information given, we can see that the variables that are illustrated in the question are f and g.

In order to write the rule for g(x) = f(x-1)-3 when f(x) = x⁶ - 3x³ + 2, replace x with x-1 in f(x) and subtract 3. That is:

g(x) =  f(x - 1) - 3

g(x) = (x-1)⁶ - 3(x - 1)³ + 2 - 3

g(x) = (x-1)⁶ - 3(x - 1)³- 1

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The required money to be invested in order to save $5000 is $4677.26.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The principal for each interval is the sum of interest And the principal for the previous interval.

Suppose the amount to be invested be P.

The rate of interest for monthly compounding is given as 4.5/12 = 0.375%.

Time is given as 18 months.

This implies number of time period is 18.

Plug n = 18, r = 0.375% and A = 5000 in A = P(1 + r/100)ⁿ as,

⇒ 5000 = P(1 + 0.375/100)¹⁸

⇒ P = 4677.26

Hence, the amount of money that should be invested is obtained as $4677.26.

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The coefficient of XY in 7xy is 7

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

Seven is the coefficient of XY in 7xy.

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When the points are (4, 2) and (6, 5), the slope is 3/2. The slope of a line determines its direction and degree of steepness.

A line's steepness and direction are determined by the slope of the line. The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. While there has been no net change in the x coordinate, there has been no net change in the y coordinate. hence, the shift in the y coordinate in relation to the shift in the x coordinate. The slope of a line is the rise to run ratio, or the rise divided by the run. It gives information about a line's slope in the coordinate plane. Any two clearly separated points on a line can be used to calculate the slope of any line.

given

slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

points are ( 4, 2 ) and ( 6, 5)

[tex]\frac{5 - 2}{6 - 4} \\= \frac{3}{2}[/tex]

hence the slope is 3 / 2 .

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The height of the equilateral triangle when its side length is given as 8 inches is calculated to be 6.93 inches.

The equilateral triangle has all sides and angles equal. The angles are always equal to 60 degrees.

Given that,

Side length of the equilateral triangle = 8 inches

Angles = 60 degrees

Height = ?

Therefore, let us find the height of the triangle using the Pythagoras theorem,

c² = a² + b²

8² - 4² = b²

b² = 64 - 16

b² = 48

b = 6.93 inches

Thus, the height of the equilateral triangle is calculated to be 6.93 inches.

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ans Is here i) 1/9

ii) 3

tq brainlest?

Answer:

The probability of winning a straight bet is 1/100, and the payout is $50, so the expected value of a winning bet is (1/100) * $50 = $0.50.

The probability of losing a straight bet is 99/100, and the cost of the bet is $1, so the expected value of a losing bet is (99/100) * -$1 = -$0.99.

Therefore, the expected value of a straight bet is $0.50 - $0.99 = -$0.49.

the first 4 term is (1+2x)^6

The Distance that Ellie ran each evening is 16.5 miles for a entirety week.

We can use the following equation to find how many miles, x, Ellie ran each afternoon:

x + 2.5(3) = 24

Here, x represents the number of miles Ellie ran each afternoon, 2.5 represents the number of miles she ran each morning, and 3 represents the number of days she trained. The total number of miles she ran, 24, is on the right side of the equation.

To solve for x, we can start by simplifying the left side of the equation:

x + 7.5 = 24

Then, we can subtract 7.5 from both sides:

x = 16.5

So, Ellie ran 16.5 miles each afternoon.

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The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The median for odd data will be

Median = [(n + 1) / 2]th

The median for even data will be

Median = {[n / 2 + (n + 2)/ 2] / 2}th

The data is given below.

23, 15, 32, 27, 19, 11, 30, 19, 22

Arrange the data in ascending order. Then we have

11, 15, 19, 19, 22, 23, 27, 30, 32

Then the median of the following 9 numbers is calculated as,

Median = [(9 + 1) / 2]th

Median = (10 / 2)th

Median = 5th

Median = 22

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

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Answer:

3.23, -1.23

Step-by-step explanation:

Draw the line y=1

See where it intersects x^2-2x-3

The x coordinates of the intersections are your answer

To find the third angle of a triangle if you know the measures of the other two angles, you can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.

For example, let's say you know that angle A measures x degrees and angle B measures y degrees. To find the measure of angle C (the third angle), you can use the following equation:

x + y + C = 180°

To solve for C, you can subtract x and y from both sides of the equation:

C = 180 - x - y

So, the measure of angle C is equal to 180 degrees minus the measure of angle A and angle B.

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Answer:

25x^6y^2

Step-by-step explanation:

Since it is a square all sides are the same. So you multiply 5x^3y and 5x^3y together to get the area. That would get you 25x^6y^2.

The option that is not true about cluster sampling is option  A: Cluster sampling has the advantage of reducing sampling variability.

Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.

Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.

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Answer: 5.6

Step-by-step explanation:

the opposite of an negative number...

So your answer would be....

        =5.6

Answer:

[tex]5.6[/tex] or [tex]\dfrac{1}{-5.6}[/tex]

Step-by-step explanation:

The additive inverse of [tex]-5.6[/tex] is [tex]-1 \cdot -5.6 = \boxed{5.6}[/tex]

or...

If you mean the multiplicative inverse of  [tex]-5.6[/tex], then the answer would be [tex]\dfrac{1}{-5.6}[/tex]

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1 or 0. A linear equation is an algebraic equation. If an equation has the formula y=mx+b, with m representing the slope and b the y-intercept, it is said to be linear.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

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The property of congruence illustrated in the statement is the transitive property.

The transitive property states that if A is congruent to B and B is congruent to C, then A is congruent to C. In other words, if two things are congruent to a third thing, they are also congruent to each other.

here,

In the statement "If AB ≅ DE, EF ≅ DE then AB ≅ EF," AB is congruent to DE, and EF is congruent to DE, so AB must also be congruent to EF according to the transitive property.

The other properties you listed are not applicable in this case. The symmetric property states that if A is congruent to B, then B is congruent to A. The reflexive property states that every object is congruent to itself. And multiplication is not a property of congruence.

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The median of the distinct positive values of all of the fractions less then or equal to 1 with positive integer denominators less than or equal to 5 is 11/20.

In the statistics, the median is the value in the middle of a data set. It means that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median. The middle number is found by ordering all data points and picking out the one in the middle or if there are two middle numbers, taking the mean of those two numbers. We have to arrange data values from lowest to highest value. The median is the data value in the middle of the set. If there are 2 data values in the middle the median is the mean of those 2 values.

The set of numbers are,

1 /5, 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 1

we have to take the average of middle two .

The middle of the set are 1/2 and 3/5. and the average of these two is 11/20.

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Answer:

1020

Step-by-step explanation:

Answer:

12+14i

Step-by-step explanation:

For -(-9-4i), you need to clean up the parentheses so you would distribute. -1 times -9 and -1 times -4i.

You will get 9+4i

Now you have 3+10i+9+4i. You will now add like terms. 10i+4i= 14i. 9+3= 12.

12+14i

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On solving the provided question we can say that equation formed is x/y = k, x = ky => y₂ = (10.5 × 3.2) / 5.6 => y₂ = 6

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x/y = k, x = ky

where k is a constant.

Thus, x₁ / y₁ = x₂ / y₂

5.6 / 3.2 = 10.5 / y₂

5.6 × y₂ = 10.5 × 3.2

y₂ = (10.5 × 3.2) / 5.6

y₂ = 6

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Using combination, 5184 nine-digit numbers can be made using each of the digits 1 through 9 exactly once with the digits alternating between odd and even.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. There is no other way to arrange the components of set A, as you can see.

If the first letter is even, there are 4 first digit possibilities (not 5 because it can't start with 0), 4 third digit possibilities, 3 fifth digit possibilities, etc., making the total 4!

If an odd number is the first letter, there will be 5!*4! different ones.

Add the two together now.

4*4!*4! + 5!*4!=5184

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Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

The equation representing the asked situation is (9 - 2.5) = 6.5

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The temperature in Knowlton is 2.5 C colder than the terminal Elmwood.

We know, that, if temperature is colder in any area A than another area B then, A will have less temperature than B.

Therefore, temperature in Knowlton is less than that of in Elmwood.

Therefore, if the temperature in Elmwood is 9 the temperature in Knowlton will be 9-2.5 = 6.5

Hence, the required equation is  9-2.5 = 6.5

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There is one way to implement a function in Python that takes in an array of integers and returns the smallest positive integer that does not occur in the array.

def smallest_missing_positive(a):

   #Create a set to store the unique elements in the array

   unique_set = set(a)

   #Iterate through the positive integers starting from 1

   for i in range(1, len(a) + 2):

       #If the current integer is not in the set, return it

       if i not in unique_set:

           return i

This function first converts the input array into a set, which removes any duplicate elements. It then iterates through the positive integers starting from 1 up to the length of the array plus 2. For each integer, it checks whether it is in the set of unique elements from the input array. If it is not, the function returns that integer as it is the smallest positive integer that does not occur in the array.

For example, when the function is called with the input array [1, 3, 6, 4, 1, 2], it will return 5 as it is the first missing positive number.

You can also use a set and difference() method of set to check the missing elements from 1 to maximum element of array+1 and find the missing first one, this method is more efficient than the above one when the array is large.

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4 is the range of the data set in the given set.

The space between the highest and lowest values in a data collection is known as the range. Similar units to the data are used to quantify variability. Variability is increased with larger values. The range has several limitations but is the most straightforward statistical measure of dispersion to compute and comprehend.

This means that the range might alternatively be described as the distance between the highest and lowest observation.

In the given data set,

range = maximum frequency - minimum frequency

range = 5 - 1

range = 4

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y = -3

Slope intercept form is y = mx + c.

"m" is the slope and "c" is the y-interecept.

The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.

This means y = 0x + c

You can substitute 14 for y and -3 for x from the first point to get:

-3 = 0(14) + c

-3 = c

y = 0x + -3

Which is the equation of the line in slope-intercept form.

This is the same as saying y = -3, as for every x value, y will always be -3.

Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

Answer: get yio colors straightv

Step-by-step explanation:

The slope of the line that passes through the graph is 3

From the graph, the points are given as

(0, 0)  and (1, 3)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 0)  and (1, 3)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 0)  and (1, 3)

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(1 - 0)

Evaluate

Slope = 3

Hence, the slope of the line is 3

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