The map shows the location of four places in a school.

Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English classroom?

(2, 5)

(−2, 5)

(−2, −5)

(2, −5)


Plzz help

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

[tex]\angle ACB = 90^\circ[/tex]

Solution:

Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].

Construction: Join point  A with centre O.

Considering [tex]\triangle AOC[/tex]:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle ACO=\angle A=x[/tex]

Considering [tex]\triangle BOC[/tex]:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle BCO=\angle B=y[/tex]

[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)

Now, in [tex]\triangle ABC:[/tex]

Using angle sum property of triangle:

[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]

By equation (1):

[tex]\angle ACB = 90^\circ[/tex]

Hence proved.

Given :

Price per folder = $2.15 .

Price per notebook = $4.60 .

The supply budget for this meeting is $150.

To Find :

Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.

Solution :

Let, number of folders and notebooks is f and n.

So, price of buying f and n number of folders and notebooks are :

P = 2.15f + 4.60n

Now, it is given that P ≤ $150 .

So,

2.15f + 4.60n ≤ 150

Hence, this is the required solution.

[tex]2.15f+2.5n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

Given information:

An office administrator will be purchasing supplies for an upcoming meeting.

Staff will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each.

The supply budget for this meeting is $150.

Let f be the number of folders purchased and n  be the number of notebooks purchased.

Now, the total amount spent on the whole purchase should not be greater than $150 which is the budget of the shopping.

In the form of inequality, the given condition can be written as,

[tex]2.15f+4.6n\leq 150[/tex]

The total amount spent is less than equal to 150.

Therefore, [tex]2.15f+4.6n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

For a graphical representation of the inequality, see the image attached.

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Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

m -20 =n

4.

inverse function of c(n)= n-20

4

It is a must that one replaces the m with the n in order to get the final answer

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

Answer:

7 and 11

Step-by-step explanation:

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

I hope this helped, please mark Brainliest, thank you!

Answer:

152cm^2

Step-by-step explanation:

Answer:

2 31/100

Step-by-step explanation:

Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].

Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]

Answer:

The difference between the angle measure is 152 degrees

Step-by-step explanation:

Supplementary angles are angles that add up to 180

So if one angle is x in this case, the other will be 14x

Adding both ;

x + 14x = 180

15x = 180

x = 180/15

x = 12

The other angle is 14 * 12 = 168

The difference between the two will be;

168-12 = 156

Answer:

42

Step-by-step explanation:

You add 21 twice because 3 is half of 6

Answer:

A - 42

Step-by-step explanation:

21 x 2 = 42

3 x 2 = 6

i would love to help but i just need free points

Step-by-step explanation:

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

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Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

The sum of two number =840

One number =357

First number+second number=840

357+a=840

a=840-357

a=483

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Answer:

hello your question is incomplete attached below is the missing part of the  question

answer : r = - 0.161 ( iii )

Step-by-step explanation:

The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161  and this is because the data points are showing a less negative correlation

Answer:

Step-by-step explanation:

Area formula

Then

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Answer:

4

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

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Answer:

y - 5 = -4(x + 1)

Step-by-step explanation:

The point-slope form is y - k = m(x - h).  The point is (h, k):  (-1, 5) and the slope is -4.

Here we have y - 5 = -4(x + 1)

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

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Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

Answer:

The length of the equal sides of the given quadrilateral comes to be 11 inches.

A quadrilateral is a polygon with 4 sides.

Suppose the length of the three equal sides =x inch

Length of the fourth side =7 inches

So, the perimeter of the quadrilateral = x+x+x+7

The perimeter of the quadrilateral = 3x+7

Given that the perimeter of the quadrilateral = 40inches

3x+7=40

3x=33

x=11

So, the length of three equal sides = 11 inches

Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.

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