If 2 gallons serves six people, how many gallons are needed to serve 90 people?

Given:

The location of point S on a coordinate plane.

To find:

The ordered pair for the point S.

Solution:

A point is defined as (x,y), where, |x| is the distance between the point and y-axis, and |y| be the distance between the point and x-axis. Signs of coordinates depend on the quadrant.

From the given graph it is clear that,

Distance between S and y-axis = 3.5

Distance between S and x-axis = 5.5

Point S lies in 3rd quadrant, it means x- and y-coordinates are negative.

Therefore, the ordered pair of point S is (-3.5,-5.5).

The mistakes that were made regarding the transformation are:

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

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Answer:79

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(-430)=-sin(430)=-sin(360+70)=-sin 70

2)

Given,

The coodinates of point P is (-6,4).

The coordinates of point R is (-8,6).

The length of PR is,

Substituting the values then,

Hence, option B is correct.

Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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\(\huge\boxed{\boxed{Hello\;there!}}\)

10 multiplied by a number y.

The mathematical translation is:

10y

Remember, we always put the number before a variable.

So, y10 is wrong; the correct answer is 10y.

It is possible to write 10*y, but we usually write it as 10y.

\(\huge\boxed{\bold{Hope\;it\;helps!\;Please\;press\;the\;crown!}}\)

\(\huge\bold{Good\;luck!\;Enjoy\;your\;day!}\)

\(\huge\rm{StillEnjoyingLife:)\)

A)  The mean distance walked by the group of office workers on Monday was approximately 6.89 km.

b) The interquartile range was approximately 2.2 km.

c)   The value of r would be: r ≈ 4.1 km

d)  (i) Total distance walked = 1.7 km * 20 = 34 km

(ii),  the combined mean distance walked by all thirty workers was approximately 3.28 km.

(iii) the standard deviation is not given directly, we can use the fact that the standard deviation is equal to the square

(a) The mean distance walked by the group of ten office workers on Monday can be found by adding up all of their distances and dividing by the number of workers:

Mean = (5 + 2 + 3 + 6 + 5 + 8 + 5 + 7 + 6 + 4) / 10

= 51 / 10

= 5.1 km

(b) (i) The value of p is the median of the data set. Since there are 10 data points, the median is the average of the 5th and 6th smallest values:

p = (5 + 5) / 2

= 5 km

(c) The value of r represents the maximum distance that is not considered an outlier. From the box-and-whisker plot, we can see that the maximum value is 8 km, which is not an outlier. Therefore,

r = 8 km

(d) (i) The total distance walked by the group of 20 freelancers can be found by multiplying their mean distance by the number of freelancers:

Total distance = Mean distance * Number of freelancers

= 1.7 km * 20

= 34 km

(d)

(i) The total distance walked by the group of 20 freelancers can be found by multiplying their mean distance by the number of freelancers:

Total distance = Mean distance * Number of freelancers

= 1.7 km * 20

= 34 km

(ii) The combined mean distance that all 30 workers walked on Monday can be found by adding up the total distance walked by all workers and dividing by the total number of workers:

Combined mean distance = (Total distance by office workers + Total distance by freelancers) / Total number of workers

= (51 km + 34 km) / 30

= 85 / 30

= 2.83 km

(iii) On Tuesday, all 20 freelancers walked double the distance they walked on Monday. The variance in the distance walked by the freelancers on Tuesday can be found using the formula for the variance of a constant times a random variable:

Var(aX) = a^2 Var(X)

Since the freelancers walked double the distance, the variance of the distance they walked on Tuesday is:

Var(Tuesday distance) = 4 * Var(Monday distance) = 4 * (1 km)^2 = 4 km^2

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Answer:

$26,179.82  

Step-by-step explanation:

FVA = PMT * n * (1 + i) ^ (n - 1)

FVA = 440 * 48* (1.00458)^(47)

Answer:

Step-by-step explanation: b

By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

Alias, which is a name given to the calculated field that is used to reference the expression in the query.

A calculated field can be included in a query by entering an alias, which is a name given to the calculated field, and then the expression in one of the columns in the field row. An alias should be descriptive of the calculated field and its purpose in the query. The expression entered should be written in the same syntax used to write conditions in the query. Calculated fields can be used to calculate values from multiple fields in the query or to manipulate data. It can also be used to perform mathematical calculations, such as adding, subtracting, multiplying, or dividing values. They are especially useful when data needs to be manipulated or summarized before it is used in the query. Calculated fields are a great way to optimize queries and make them more efficient by reducing the amount of data that needs to be retrieved.

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Answer:

⅛

Step-by-step explanation:

Each mark (x) on the plot presents the distance that each student jumped.

There are 24 marks there, so it means there is a total of 24 students whose distance jumped were recorded.

Number of students that jumped 5½ ft = 3

Fraction of the students that jumped 5½ ft = no of students that jumped 5½ ft / total number of students

= 3/24

Simplify/reduce the fraction

= 1/8

{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

When one magnitude depends on another, the relationship between them is known as a mathematical function. So long as they are uniquely and solely connected.

Every mathematical function is the relationship between an element of group A and an element of group B. Consequently, the following algebraic expression can be used to represent this function:

Therefore, the {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The complete question is given below,

Which relation describes a function? What makes it a function?

A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.

B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.

C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.

D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.

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Answer:

34°

Step-by-step explanation:

90-56=34°

__________

Let's call x to the unknown number.

"Twice a number" means we need to multiply the unknown number by 2, that is, 2x.

Then, "twice a number plus four equals 22" is represented by the next equation:

Subtracting 4 at both sides of the equation:

Dividing by 2 at both sides of the equation:

The number is 9

Answer:

Below

Step-by-step explanation:

Points   (-3,5)   and   ( 3,1)

distance d can be found using the distance formula ( modified Pyhtagorean theorem)

d^2 = ( x1-x2)^2 + ( y1-y2)^2

d^2 = ( -3 -3)^2  + ( 5-1)^2

d^2 = 36 + 16

d^2 = 52

d = sqrt(52) = 2 sqrt(13)

Answer: at least 50 dollars

Step-by-step explanation:

Step-by-step explanation:

Cross-multiply to find x:

Answer: To find the solution of a system of equations, we can either use substitution or elimination method.

For this system of equations, we can use the substitution method:

First, we solve one equation for one of the variables. For example, we can solve the first equation for y: y = -2x - 4

Then, we substitute this expression of y into the second equation and solve for x: 1/2x + 6 = -2x - 4

We can simplify this equation by adding 2x to both sides: 1/2x + 2x + 6 = -4

And then by adding 6 to both sides: 1/2x + 2x + 12 = 2

And then by multiplying both sides by 2: x + 4x + 24 = 4

And then by simplifying: 5x = -20

Finally, we find x = -4

Now that we have found x, we can substitute it back into one of the equations to find y:

y = -2(-4) - 4 = 8 - 4 = 4

So the solution of the system of equations is x = -4 and y = 4

We can check that this solution satisfies both equations.

Step-by-step explanation:

Answer: 7 out of 14x+49  = 7(2x+7)

14x+49

7(2x+7)

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The 100th derivative of P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷) will be zero.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

A polynomial,

P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷).

To find the degree:

(x⁷)¹⁰(x²)¹¹(x⁷) = x⁹⁹.

The polynomial has a degree of 99.

If we think about it intuitively,

Therefore, if we were to multiply it all out,

the leading word would be x⁹⁹.

The term's first derivative is 99x⁹⁸,

followed by 99(98)x⁹⁷,

and 99(98)(97)x⁹⁶.

And finally,

the 99th derivative is 99×98×97×96×...4×3×3×2×1× (x⁰)

=99!

So, the 100th derivative will be zero.

Therefore, by the 100th derivative, all terms will cancel out.

100th derivative will be zero.

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Answer:

11 units

Step-by-step explanation:

10 + 1 = 11

Even though point A is a negative 1. It's 1 point away from zero. Point B is 10 away from zero, making the distance 11.

Answer: The answer is the last option, Option D.

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

It is "The y-intercept is one space higher."

Step-by-step explanation:

Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.

Answer:

x^x=823543

Step-by-step explanation:

Answer:

(a) The correct option is (A).

(b) The correct option is (B).

Step-by-step explanation:

Nam collected the data for the distance traveled by all the cars in his car lot.

(a)

A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.

If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.

The correct option is (A).

(b)

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.

The correct option is (B).

Answer: For the first one is A second one is B

Step-by-step explanation: I took the khan test. UwU♡