When rewriting y = 2x + 1 in function notation, what do you replace with f(x)? Responses

A.1

B.2

C.f(y)

D.x

E.y

For a Hexagonal Prism , the Surface Area can be calculated by using the formula [tex]3sh+3\sqrt{3}s^{2}[/tex] , and the volume can be calculated by using the formula [tex]\frac{3\sqrt{3}s^{2}}{2} \times s^{2} h[/tex]  .

What is a Hexagonal Prism ?

The hexagonal prism is defined as the prism that has  a hexagonal base and top. hexagonal prism is a 3D shape and that has 8 faces, 18 edges, and 12 vertices. As it has 8 faces it can also called as Octahedron.

The formula to calculate the Surface Area of the hexagonal prism is written as : [tex]3sh+3\sqrt{3}s^{2}[/tex] ;

The formula to calculate the Volume of hexagonal prism is written as : [tex]\frac{3\sqrt{3}s^{2}}{2} \times s^{2} h[/tex] ;

where h = is the height of hexagonal prism , and

s = is the side of the hexagonal base .

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Answer:

15

Step-by-step explanation:

I took the test and got it right

The solution is

a) The total area of the rectangular grass area is 9600 feet²

b) The number of bags required is 9.6 bags

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular grass area be = A

Now , the equation will be

The length of the rectangular grass portion = 120 feet

The width of the rectangular grass portion = 80 feet

The area of the rectangular grass portion = Length x Width

Substituting the values in the equation , we get

The area of the rectangular grass portion A = 80 x 120

The area of the rectangular grass portion A = 9600 feet²

Now , each bag of the grass seed covers 1000 feet²

So , the number of bags required for the entire area = area of the rectangular grass portion A / each bag of the grass seed covers 1000 feet²

On simplifying the equation , we get

The number of bags required for the entire area = 9600 / 1000

The number of bags required for the entire area = 9.6 bags

Therefore , the number of bags required is 9.6 bags

Hence , the total area of the rectangular grass area is 9600 feet²

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Answer:

-8p^12q^7+9p^2q^7

Step-by-step explanation:

Use pemdas

multiply -2p^5q^6 ⋅ 4p^7q

to get -8p^12q^7

add that with the first term

Answer: get smart bro

you would know it if you was smart

Step-by-step explanation:

you wont do your work, you always cheat, and you don't listen to the teacher

you need to find the answer out on your own.

P.S. i hope you have a good day :)

The function that correctly depicts the scenario is f(x) = 18.50 * (1.06)^x

From the question, we have the following parameters that can be used in our computation:

Value of buffet = $18.50

Rate of increment = 6%

The function that correctly depicts the scenario is represented as

f(x) = Value of buffet * (1 + Rate of increment)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 18.50 * (1 + 6%)^x

So, we have

f(x) = 18.50 * (1.06)^x

This means that

x = 10

Substitute the known values in the above equation, so, we have the following representation

f(10) = 18.50 * (1.06)^10

Evaluate

f(10) = 33.13

This means that

x = -15

Substitute the known values in the above equation, so, we have the following representation

f(-15) = 18.50 * (1.06)^(-15)

Evaluate

f(-15) = 7.71

Hence, the amount 15 years ago is $7.71

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The area of the circle is [tex]\pi r^2 = \pi \cdot \left(\frac{10}{2}\right)^2 = \boxed{25 \pi}$[/tex].

Since pq and pr are both vectors, we can find the length of the hypotenuse qr by taking the square root of the sum of the squares of the magnitudes of pq and pr. This is given by the Pythagorean Theorem:

[tex]$$qr = \sqrt{|pq|^2 + |pr|^2} = \sqrt{3^2 + 4^2 + (-8)^2 + 6^2} = 10$$[/tex]

Therefore, the area of the circle is [tex]\pi r^2 = \pi \cdot \left(\frac{10}{2}\right)^2 = \boxed{25 \pi}$[/tex].

The Pythagorean Theorem is a mathematical equation used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse. In other words, a2 + b2 = c2, where a and b are the lengths of the two legs and c is the length of the hypotenuse.

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A triangle PQR is a right triangle and the area of the circle is 98.17 square units.

In this question we have been given the corners of triangle PQR lie on a circle.

We need to show that the triangle is right-angled otherwise we need to find the area of the circle.

Given that [tex]\vec{PQ}= 3\hat{i} + 4\hat{j}[/tex] and [tex]\vec{PR}= -8\hat{i} + 6\hat{j}[/tex]

Consider the product of PQ and PR.

[tex]\vec{PQ} . \vec{PR}=(3\hat{i} + 4\hat{ij}) . (-8\hat{i} + 6\hat{j})\\\\\vec{PQ} . \vec{PR}=-24|i|^2 + 18ij - 32ij + 24|j|^2\\\\\vec{PQ} . \vec{PR}= -14ij -24 + 24\\\\\vec{PQ} . \vec{PR}= -14ij\\\\\vec{PQ} . \vec{PR}= -14 |i| |j| cos < i, j > \\\\\vec{PQ} . \vec{PR}= 0[/tex]  

This means, PQ and PR are perpendicular to each other.

[tex]\Rightarrow \angle QPR=90^{\circ}[/tex]

Thus, the triangle PQR is a right triangle.

|PQ| = 5 units

|PR| = 10 units

Using Pythagoras theorem,

[tex]|QR| = \sqrt{|PQ|^2+ |PR|^2} \\\\|QR| = \sqrt{5^2 + 10^2}\\\\|QR| = \sqrt{25+100} \\\\|QR| = \sqrt{125} \\\\|QR| = 5\sqrt{5} ~~units[/tex]

We know that the hypotenuse is the alrgest side of right triangle.

So, hypotenuse of right triangle PQR = diameter of circle

So, the radius r of circle would be,

[tex]r = \frac{5\sqrt{5} }{2}[/tex]

Now we need to find the area of circle.

[tex]A = \pi\times r^2\\\\A = \pi \times (\frac{5\sqrt{5} √5}{2})^2\\\\A = \pi \times (\frac{125}{4})[/tex]

A = 98.17 square units

Therefore, the area is 98.17 square units

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A complete question is:

The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j. By showing that the triangle is right-angled, or otherwise, find the area of the circle.

The number of games that the team played today is; 15 games

Let me name of each player be A, B, C, D, E, F.

Now, let's start counting number of matches played by each team one after the other.

1. Player A will play with B, C, D, E, F. So number of matches played by team A is equal to 5.

2. Player B will play with C, D, E & F.( Players B & A have already played match with each other. So we won't count it again.) Thus, number of matches played by player B is equal to 4.

3. Player C will play with D, E, F & as it has already played with B & A, we will not count it again. So, number of matches played by player C is equal to 3.

4. Player D is left to play with E & F as it has already played with rest of the team. So, number of matches played by Player D is equal to 2

5. Player E & F will play with each other;

Add total number of matches played from above which is equal to;

5 + 4 + 3 + 2 + 1 = 15

From here, further matches to be played will be based on how many teams will qualify for next round.

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The remainder when X 3x² 2x 1 is divided by x 1 is 2, the last coefficient.

To find the remainder when dividing X 3x² 2x 1 by x 1, we can use the division algorithm. This algorithm states that the remainder is equal to the dividend minus the product of the divisor and the quotient.

To find the quotient, we can use synthetic division, which is a shortcut method that allows us to divide polynomials without needing to use the traditional long division method.

In this case, the divisor is x 1, so we write down x 1 and the coefficients of X 3x² 2x 1 in order from the highest degree to the lowest degree, which is 3x² 2x 1. We then divide the first coefficient, 3, by the divisor, 1, and write this result, 3, as the first number in the quotient.

We then multiply 3 by the divisor, 1, and subtract this from the dividend. The result of this subtraction is 3x² 2x, so we repeat this process until we reach the last coefficient, which is the remainder. In this case, the last coefficient is 2, so this is the remainder when dividing X 3x² 2x 1 by x 1. Therefore, the remainder is 2.

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The approximate length of the apothem is 10.86 feet.

For a regular polygon, the apothem is the perpendicular line drawn from the center to the midpoint of any of its sides.

The formula to find the apothem given its perimeter is:

a = P / (2n tan (180 / n))

where a = length of the apothem

P = perimeter

n = number of sides of the polygon

Plug in the values and solve for the apothem.

a = P / (2n tan (180 / n))

a = 72 feet / (2)(8)(tan (180 / 8))

a = 10.86 feet

Therefore, the approximate length of the apothem is 10.86 feet.

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Answer:75%or0.75.

Step-by-step explanation:  Based on the given conditions formulate:: 30 / 40Cross out the common factor: 3/4 3/4: 75% or 0.75.

Answer: 15+0.65x=80

Step-by-step explanation:

The solution to the simultaneous equation using elimination method is x = -4 4/11 and y = -1/11

Elimination method of solving simultaneous equation is by completing removing or eliminating a variable in order to solve for the other variable.

-4x+5y=17

4x+6y= - 16

Add both equations to eliminate x

5y + 6y = 17 + (-16)

11y = 17 - 16

11y = -1

divide both sides by 11

y = -1/11

Substitute into equation (1)

-4x+5y=17

-4x + 5(-1/11) = 17

-4x -5/11 = 17

-4x = 17 + 5/11

-4x = (187 + 5) /11

-4x = 192/11

divide both sides by -4

x = 192/11 ÷ -4

= 192/11 × -1/4

= -192/44

= - 4 16/44

x = -4 4/11

Therefore, x = -4 4/11 and y = -1/11 is the solution to the simultaneous equation -4x+5y=17; 4x+6y= - 16

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To solve this equation, you would need to isolate the logarithm on one side of the equation.

What is a logarithm in simple terms?

A logarithm is the power to which a number must be increased in order to get some other number (see Section 3 of this Math Review for more about exponents) (see Section 3 of this Math Review for more about exponents). For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2, or log 100 = 2.

You can start by using the property of logarithms that states that log(a*b) = log(a) + log(b).

So, you can split the left side of the equation into two logarithms: log(3x²) + log(1 + 4/3x) = log(2x²) + log(1 + 6/x)

Now, you could use the property log(a^b) = b*log(a) to simplify the equation further.

So, you will have: 2log(x) + log(1 + 4/3x) = 2log(x) + log(1 + 6/x)

Then by using log(1+x) ≈ x, you can simplify the equation further to 2log(x) + 4/3x ≈ 2log(x) + 6/x.

Now it's clear that the equation is not true and can't be solved.

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1. x = (x1+x2)/2

2 .The ratio of DE:AB is DE/AB = √((x2-x1)^2 + (y2-y1)^2) / √((x2-x1)^2 + (y2-y1)^2)

What is the Midpoint?

The midpoint of a line segment is the point that is exactly in the middle of the line segment. It is equidistant from both endpoints of the line segment. It is represented by the coordinates (x, y), where x and y are the averages of the x-coordinates and y-coordinates of the endpoints of the line segment, respectively.

1. To solve for x, we can use the midpoint formula and the fact that D is the midpoint of AC.

The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

let A(x1,y1) and C(x2,y2) be the coordinates of points A and C respectively

then D(x,y) is the midpoint of AC

x = (x1+x2)/2 and y = (y1+y2)/2

Since we know that AD = 28 and DC = 22, we can use the distance formula to find the coordinates of A and C.

The distance formula states that the distance between two points (x1, y1) and (x2, y2) is √((x2-x1)^2 + (y2-y1)^2)

so we have:

√((x2-x1)^2 + (y2-y1)^2) = √((x2-x1)^2 + (y2-y1)^2) =28

√((x2-x1)^2 + (y2-y1)^2) = √((x2-x1)^2 + (y2-y1)^2) =22

square both equations and we have:

(x2-x1)^2 + (y2-y1)^2 = 28^2

(x2-x1)^2 + (y2-y1)^2 = 22^2

2. To determine the ratio of DE:AB we can use the fact that E is the midpoint of BC.

let B(x1,y1) and C(x2,y2) be the coordinates of points B and C respectively

then E(x,y) is the midpoint of BC

x = (x1+x2)/2 and y = (y1+y2)/2

Since we know that BE = 8x + 3 and EC = 5x + 7.5, we can use the distance formula to find the coordinates of B and C and then find the ratio.

Hence, The ratio of DE:AB is DE/AB = √((x2-x1)^2 + (y2-y1)^2) / √((x2-x1)^2 + (y2-y1)^2)

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After solving, the perimeter of △lmn is 8 + √10.

In the given question, we have to find the perimeter of △lmn.

The graph of the given question is given below:

From the graph we can see that N(-1, 4), L(2, 4) and M(-2, 1)

Before finding the perimeter we have to find the length of the line.

We can find the length of the line using the formula

L = √[{x(2)-x(1)}^2+{y(2)-y(1)}^2]

We firstly find the length of line NL.

x(1) = -1, y(1) = 4, x(2) = 2 and y(2) = 4

L(NL) = √[(2-(-1))^2+(4-4)^2]

L(NL) = √[(2+1)^2+0^2]

L(NL) = √[(3)^2+0]

L(NL) = 3

Now we find the length of line LM.

x(1) = 2, y(1) = 4, x(2) = -2 and y(2) = 1

L(LM) = √[(-2-2)^2+(1-4)^2]

L(LM) = √[(-4)^2+(-3)^2]

L(LM) = √[16+9]

L(LM) = √25

L(LM) = 5

Now we find the length of line MN.

x(1) = -2, y(1) = 1, x(2) = -1 and y(2) = 4

L(MN) = √[(-1-(-2))^2+(4-1)^2]

L(MN) = √[(-1+2)^2+(3)^2]

L(MN) = √[(1)^2+9]

L(MN) = √[1+9]

L(MN) = √10

Now we finding the perimeter of △lmn

Perimeter of △lmn = length of NL + length of LM + length of MN

Perimeter of △lmn = 3 + 5 + √10

Perimeter of △lmn = 8 + √10

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The perimeter is equal to the sum of the lengths of its three sides. We added 8 units, 9 units, and 10 units to get a total of 27 units, which is the perimeter of △lmn.

The perimeter of a triangle is the sum of the lengths of its three sides. To calculate the perimeter of △lmn, we must first identify the lengths of the three sides. Let's say the length of side lm is 8 units, side mn is 9 units, and side ln is 10 units. We can now use the formula for the perimeter of a triangle to calculate the perimeter of △lmn:

Perimeter of △lmn = 8 + 9 + 10

Perimeter of △lmn = 27 units

To calculate the perimeter of △lmn, we first identified the lengths of its three sides. Then, we used the formula for the perimeter of a triangle, which states that the perimeter is equal to the sum of the lengths of its three sides. We added 8 units, 9 units, and 10 units to get a total of 27 units, which is the perimeter of △lmn.

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The range for 95% of the population would be from  60 inches to 68 inches.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean height for women is 64 inches with a standard deviation of 2 inches.

As we know that the range for 95% of the population would be as:

μ - σ < x < μ + σ

(64 - 2 × 2) < x <  (64 + 2 × 2)

60 < x < 68

Thus, the range would be from  60 inches to 68 inches.

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A number has the digits 8 and 4. To the nearest 10 the number rounds to 50. The value of the number will be 48.

The general equation for writing a two-digit number is 10x+y,

Where, x = number placed at ten's digit, while y = number placed at unit's digit.

Here, numbers have two digits 8 and 4.

We can assume two different cases:

Case 1

When 8 is at ten's digit and 4 is at unit's digit

So, the value of the number will be =(10*8) +4 = 80+4 = 84

As the number is rounds to 50, but here in this case 84 can only be rounds to either 80, or 100 (when we round it to nearest 100)

So, this will not be the required number.

Case 2:

When, 8 is at unit digit and 4 it at ten's digit.

So, the value of the number will be (10*4)+8 = 40+8 = 48

As the number is rounds to 50, so in that case 48 can be rounds to 50.

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The number is 48.

The number 8 and 4 can be combined to make 84. The nearest 10 to 84 is 80. To get to 50, you must add 8 more, making the number 48.

The number 8 and 4 can be combined to create a two-digit number, 84. When rounding to the nearest 10, the number 84 rounds to 80. To get to 50, 8 more must be added, making the number 48. Therefore, the number that is composed of 8 and 4 and rounds to 50 is 48.

The two-digit number 8 and 4 combine to form 84. Rounding to the nearest 10 gives 80. To reach 50, 8 must be added, resulting in 48. Therefore, 8 and 4 together round to 50 and equal 48.

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Step-by-step explanation:

(1 - 2)/(a + 6)= -1/9

-1/a + 6 = -1/9

-a - 6 = -9

-a = -3

a = 3

If someone bought 4 adult tickets and 14 child tickets, they would get a total of 18 tickets.

If a customer buys aa adult tickets and kk child tickets, they will get a total of aa + kk tickets.

Generally, A ticket is a piece of paper or electronic document that gives you permission to enter an event, travel by a particular mode of transportation, or participate in an activity.

There are many different types of tickets, including tickets to concerts, sporting events, plays, and other performances, airline tickets, train tickets, and tickets to theme parks or other attractions.

Some tickets are sold in advance, while others are available at the door or at a ticket booth.

The number of total tickets someone would get if they purchased 4 adult tickets and 14 kids tickets are

18.

If someone purchases aa adult tickets and kk kids tickets, the total number of tickets they would get is

aa + kk.

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Iterations are required to sort the array 10 23 14 35 17 15 16 using selection sort = 5

The selection sort algorithm sorts an array by repeatedly finding the minimum element (considering ascending order) from the unsorted part and putting it at the beginning.

The algorithm maintains two subarrays in a given array.

The subarray which already sorted.

The remaining subarray was unsorted.

In every iteration of the selection sort, the minimum element (considering ascending order) from the unsorted subarray is picked and moved to the beginning of unsorted subarray.

After every iteration sorted subarray size increase by one and unsorted subarray size decrease by one.

After N (size of array) iteration we will get sorted array.

Lets consider the following array as an example: array[] ={10 23 14 35 17 15 16}

{64, 25, 12, 22, 11}

First pass:

For the first position in the sorted array, the whole array is traversed from index 0 to 6 sequentially. The first position where 10 is stored presently, after traversing whole array it is clear that 10 is the lowest value.

  10      23       14      35       17      15         16

Thus, replace10 with 10. After one iteration 10, which happens to be the least value in the array, tends to appear in the first position of the sorted list.

10      23       14      35       17      15         16

Second Pass:

For the second position, where 23 is present, again traverse the rest of the array in a sequential manner.

 10      23       14      35       17      15         16

After traversing, we found that 14 is the second lowest value in the array and it should appear at the second place in the array, thus swap these values.

  10      14       23      35       17      15         16

Third Pass:

Now, for third place, where 23 is present again traverse the rest of the array and find the third least value present in the array.

  10      14       23      35       17      15         16

While traversing, 15 came out to be the third least value and it should appear at the third place in the array, thus swap 15 with element present at third position.

   10      14       15      35       17      23         16

Fourth pass:

Now, for fourth place, where 35 is present again traverse the rest of the array and find the fourth least value present in the array.

 10      14       15      35       17      23         16

While traversing, 16 came out to be the fourth least value and it should appear at the fourth place in the array, thus swap 16 with element present at fourth position.

10      14       15      16       17      23         35

Fifth Pass:

At last the largest value present in the array automatically get placed at the last position in the array

The resulted array is the sorted array.

 10      14       15      16       17      23         35

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The required equations are 10⁴x = 2900 and 10²x = 29

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

Given that, which equation is making, 0.29.

Considering 10⁴x = 2900 and 10²x = 29

1) 10²x = 29

100x = 29

x = 29 /100

x = 0.29

2) 10⁴x = 2900

10000x = 2900

x = 2900 / 10000

x = 0.29

Hence, the equations making 0.29 are 10⁴x = 2900 and 10²x = 29

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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To solve this we must be knowing each and every concept related to month. Therefore,  today's date is June 21st. It is also summer time in Canada.

A month is a measure of time used with calendars that is about the length of the Moon's natural orbital period; the phrases moon and Month are cognates. The conventional definition evolved from the lunar phase cycle; such lunar month ("lunations") comprise synodic months that last around 29.53 days.

In fifteen days it will be the first of the month. Fifteen days ago it was the first of the month. It is also summer time in Canada, then today's date is June 21st.

Therefore,  today's date is June 2st.

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The camera had to cover the greatest angle will be camera 2. Then the correct option is D

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Degrees and sides in relation to one another The biggest side and angle of any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.

Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 110 ft from camera 2, which was 137 ft from camera 3. Cameras 1 and 3 were 158 ft apart.

The distance between Camera 1 and Camera 3 is the largest one. Then the camera had to cover the greatest angle will be camera 2. Then the correct option is D

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To make 40 meters long shadow, building should have 10 stories.

In arithmetic, the multiplication of two numbers represents the repeated addition of one number with respect to another. These numbers can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, then it means either m is added to itself ‘n’ number of times or vice versa.

Given,

Stories of building 24 meters long shadow  = 6

Stories making 1 meter long shadow = 6/24

Stories in building making 40 meters long shadow = 6/24 × 40

                                                         = 240 / 24

Stories in 40 meters long building = 10

Hence, 10 stories tall building will make shadow length of 40 meters.

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Emma traveled 1127.2 miles from the airport to her house.

The equation to calculate the distance traveled by Emma is:

55 + 3.703 * d = 4242

To solve the equation, we need to subtract 55 from both sides of the equation.

4242 - 55 = 4187

Then, we will divide both sides of the equation by 3.703

4187 / 3.703 = 1127.2

Finally, we can calculate the distance traveled by Emma in miles.

d = 1127.2 miles

Therefore, Emma traveled 1127.2 miles from the airport to her house.

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Emma traveled 10 from the airport to her house.

In this question we have been given that Emma took a taxi from the airport to her house.

She paid a flat fee of $5 plus $3. 70 per mile.

The fare came to $42.

We need to find an equation that can be used to find the correct distance d in miles and then solve it to determine distance.

Let c be the total traveling cost.

So, from given information an equation to calculate the distance traveled by Emma would be,

c = 5 + (3.70)d

The fare came to $42.

c =  $42

Substiting this value in above equation we get,

42 = 5 + 3.70d

We solve this equation for d

42 - 5 = 3.70d

37 = 3.70d

d = 37 / 3.7

d = 10 miles

Therefore, the distance in miles covered by Emma is 10 miles.

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