Consider the following piece wise function:
Evaluate the expression: 2f(6) + f(-5) - 3f(-1) = {fill in the blank }

From the Venn diagram,  the sum of the numbers in all the circles and overlapping areas should add up to the total number of students surveyed, which is 85.

In the Venn diagram:

Using the information given:

Note that the sum of the numbers in all the circles and overlapping areas should add up to the total number of students surveyed, which is 85.

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A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns. A rectangle is a two-dimensional shape that has four sides and four angles, all of which are right angles, and two pairs of opposite sides which are parallel.

In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied. The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units. This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'. Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis. This will result in the length of side K'L' being 6 units. Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2). Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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The length and width of the rectangle are 14 cm and 11 cm respectively

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

The perimeter of a rectangle = l+l+w+w = 2(l+w)

represent the length by x and width by y

x = 3+y

p = 2(x+y)

represent 3+y for x

50 = 2( 3+y+y)

50 = 2( 3+2y)

50 = 6 +4y

4y = 50-6

4y = 44

divide both sides by 4

y = 44/4

y = 11 cm

x = 3+y

x = 3+11

x = 14

therefore the length and width in cm of the rectangle are 14 and 11 respectively

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From the given scenario, AB = [17 + 28, 47 + 58] = [23, 64]

To calculate the product of matrices XY, the number of columns in X must match the number of rows in Y. In this case, X has 1 column and Y has 2 rows, so the product XY is undefined.

A general example of this with matrices is:

Let A be a 2x3 matrix:

A = [1 2 3; 4 5 6]

Let B be a 1x2 matrix:

B = [7 8]

To calculate the product AB, we need the number of columns in A to match the number of rows in B.

In this case, A has 3 columns and B has 1 row, so the product AB is:

AB = [17 + 28, 47 + 58] = [23, 64]

P.S Your question is incomplete, so I showed how to calculate the product of matrices XY,

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Answer:

The quadratic 2x² - 3x - 5 is in the standard form:

ax² + bx + c

Therefore, we can identify the values of a, b, and c from the coefficients of the quadratic:

a = 2

b = -3

c = -5

So, a = 2, b = -3, and c = -5 for the given quadratic equation.

Answer:

A square is a rhombus.

Step-by-step explanation:

When rotated 45 degrees, a square can sometimes be a rhombus (aka a diamond). A rhombus can have four equal sides with four right angles, just like a square.

A trapezoid cannot be a parallelogram. A parallelogram has two sides that are parallel with each other going horizontally and two that are also parallel but going diagonally.

A parallelogram opposite sides are equal while rectangles have opposite sides that are equal as well as all of its adjacent sides being perpendicular to form right angles. A parallelogram has no right angles. The diagonals of a rectangle are equal whereas the diagonals of a parallelogram are not.

A rectangle is a closed 2D shape with four straight edges and four right angles, also the diagonals are equal. A square on the other hand is a closed 2D shape with four straight edges, four right angles, and four equal sides. Squares can be rectangles but not all rectangles can be squares.

I hope this helps.

Have a great day!

The height at the point A is 10 ft.

In math, subtraction is when you take one number away from another number.

In other words, the subtraction of two from five gives you an answer of three.

Subtraction is typically the second operation in arithmetic, after addition.

Given that, a ferris wheel has a center that is 38 feet above the ground and a radius of 28 feet, there is A point on the wheel, we need to find the distance of this point from the ground,

To find the same, we will simply subtract the radius of the wheel from the distance of the center of the wheel,

Therefore,

The distance of the point A from the ground = 38 - 28 = 10 ft

Hence, the height at the point A is 10 ft.

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The value of x using trigonometric ratios, we get = 36.87°

Trigonometry uses the following six trigonometric ratios: sine, cosine, tangent, secant, and cotangent. Sin, cos, tan, sec, cosec, and cot are acronyms for these ratios.

Trigonometric ratios can be used to compare the relative angles of any two sides of a right-angled triangle, which has three sides altogether.

Here.

tan x° = 9/12

⇒ (tan x°) = (9/12)

⇒ x° = 36.86989765

⇒ x = 36.87°

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The explicit formula of the function s(n) is s(n) = 2n

The domain and the range of h(n)

Given that

h(n) is the number of houses

The possible values of n and h(n) are whole numbers

So, we have

The values of h(5) and h(11)

Based on the patterns in the sequence, we have

h(n) = n

So, we have

h(5) = 5

h(11) = 11

The explicit function of h(n)

In (b), we have

h(n) = n

The values of s(4) and s(7)

Given that

s(n) is the number of segments

Based on the patterns in the sequence, we have

s(n) = 2n

So, we have

s(4) = 8

s(7) = 14

The growth pattern of s(n)

Above, we have

s(n) = 2n

The above equation is a proportional equation

This means that

The growth pattern of s(n) is linear, with a constant rate of change

The explicit function of s(n)

Above, we have

s(n) = 2n

Hence, the explicit of s(n) is s(n) = 2n

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Answer:

243

Step-by-step explanation:

Going in times 3 so 81 x 3 = 243

Answer:

Step-by-step explanation:

6^8 x 6^10 = 6^(8+10) = 6^18

Answer:

18

Step-by-step explanation:

a^x times a^y = a^x+y

Therefore, 6⁸×6¹⁰ -----> 8+10 = 6¹⁸

Answer:

540.7

Step-by-step explanation:

You need to find the circumference of the pond. You can find the circumference using the diameter.

The formula for circumference is d×3.14

The diameter is 169

so, 169×3.14=540.66 rounded to 540.7

Answer:

Step-by-step explanation:

Answer:

1/360

Step-by-step explanation:

A full circle corresponds to a central angle of 360°.

A 1° angle corresponds to 1/360 of a full circle.

Answer:

1/360

Step-by-step explanation:

1° angle corresponds to 1/360 of a whole circle

Step-by-step explanation:

To graph the relationship between the number of pencils and the number of boxes, we can plot some points that satisfy the equation p = 144b.

We can choose any values of b and calculate the corresponding values of p using the equation. For example:

When b = 0, p = 144(0) = 0. So one point on the graph is (0, 0).

When b = 1, p = 144(1) = 144. So another point on the graph is (1, 144).

When b = 2, p = 144(2) = 288. So another point on the graph is (2, 288).

We can continue this process to find more points, or we can notice that the equation p = 144b represents a linear relationship between p and b with a slope of 144. This means that every time we increase b by 1, we increase p by 144.

We can use this information to graph the equation by starting at the y-intercept (0, 0) and then moving up 144 units for each unit we move to the right. This gives us a straight line with a slope of 144 passing through the origin.

The graph of the equation p = 144b looks like this:

|

| .

| .

| .

| .

| .

| .

| .

----------------------------------

0 1 2 3 4 b

The horizontal axis represents the number of boxes (b), and the vertical axis represents the number of pencils (p). Each dot on the graph represents a point that satisfies the equation p = 144b.

Answer:4 times

Step-by-step explanation: 2 4 6 8

Answer:

B. 2

Step-by-step explanation:

The standard form of a sine function is given by:

y = A sin(Bx - C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In the given function y = 1/2 sin(pi x) + 3, we can see that the amplitude is 1/2, the frequency is pi, the phase shift is 0, and the vertical shift is 3.

The period of a sine function is given by:

Period = 2π/B

In this case, B = pi, so the period is:

Period = 2π/pi = 2

Therefore, the period of the graph of y = 1/2 sin(pi x) + 3 is 2, which is option B.

Answer:

Step-by-step explanation:

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi.  So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period.  Those just impact the amplitude (vertical aspect) of the graph.

The surface area of the cone is 96π square centimeters (or approximately 301.59 square centimeters if we use a decimal approximation for π).

Calculating a cone's surface area is as follows:

SA = πr² + πrℓ

where l is the cone's slant height and r is the base's radius.

The radius and slant height in this instance are 6 cm and 10 cm, respectively. Therefore:

SA = π(6²) + π(6)(10)

= 36π + 60π

= 96π

The cone's surface area is 96 square centimetres, or roughly 301.59 square centimetres if we round to the nearest decimal.

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Answer: Clothes

Step-by-step explanation:

They are in a clothing store for the girls.

Hope this helped

The coordinate notation for a clockwise rotation of 180° about the origin include the following: (x, y) → (-x, -y).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Generally speaking, the mapping rule for the rotation of a geometric figure about the origin by 180° is given by this mathematical expression:

(x, y) → (-x, -y)

Where:

In conclusion, the transformation rule (x, y) → (-x, -y) is used for the rotation of a geometric figure about the origin in a clockwise direction.

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Answer:

2 3/8

Step-by-step explanation:

8 [tex]\frac{5}{8}[/tex]

-  4 [tex]\frac{1}{4}[/tex]

First you got to get the fractions to have the same denominator (or bottom number)

In this case it would be 8. You would multiply the 4 in 1/4 to get 8, and what you do to the bottom you have to do to the top, so the 1 would multiply by 2 as well to get to.

So the new equation would be,

 8 [tex]\frac{5}{8}[/tex]

- 4 [tex]\frac{2}{8}[/tex]

5-2= 3

And the denominator stays the same so the fraction would be 3/8.

8-4=4 so the whole number would be 4

Making the full answer 4 3/8

The area of a regular 8 sides polygon with radius 4 units long is 309 unit²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a regular 8 sides polygon with radius 4 units long, we need to find its area,

We know that the regular 8-sided polygon is called an Octagon.

Area of an octagon =

A = 2(1+√2)a²

a = side

A = 2(1+√2)8²

A = 2(2.41)64

A = 309

Hence, the area of a regular 8 sides polygon with radius 4 units long is 309 unit²

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The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:

To calculate the monthly payment for an installment loan, we can use the formula:

M = P * r * (1 + r)^n / [(1 + r)^n - 1]

where:

M = monthly payment

P = principal (amount borrowed)

r = monthly interest rate (annual interest rate divided by 12)

n = total number of payments

In this case, Adolfo borrowed $6,800, and the loan is to be repaid in 24 monthly payments at an 18% APR. First, we need to calculate the monthly interest rate:

r = 18% / 12 = 0.015

Next, we can substitute the given values into the formula:

M = 6,800 * 0.015 * (1 + 0.015)^24 / [(1 + 0.015)^24 - 1]

M ≈ $342.03

Therefore, the monthly payment for Adolfo's installment loan is approximately $342.03.

Step-by-step explanation:

Answer:$342.03.

Step-by-step explanation:

Step-by-step explanation:

nothimg there to solve...

The correct answer for the graph change between point A and point B is,

⇒ The graph increases.

A diagram showing relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Now it is given that there are two points on the graph,

Point A and point B.

Now, in the first case the graph increases from (0,0) to Point A.

Here graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.

In the second case the graph continues to increases through Point B.

Here also, graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.

Hence, the graph is increases from (0,0) → Point A →Point B.

Therefore, the correct answer is- The graph increases.

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How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.

ST is having a length of 3 units.

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

As per the given data:

R is the midpoint of QS:
QR = RS

RS = 6

QT = 15

S is between Q and T

QT = 15

QS + ST = 15

QR + RS + ST = 15

6 + 6 + ST = 15

ST = 3

The length of ST = 3.

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SA = 2π(1.3)² + 1.3π(3.8) is the equation that calculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder shown.

The correct equation to calculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder is:

SA = 2πr(h + r)

where r is the radius of the cylinder (which is half of the diameter), and h is the height of the cylinder.

In this case, the radius is 1.3 centimeters (half of the diameter of 2.6 centimeters), and the height is 3.8 centimeters. Therefore, the correct equation to calculate the surface area (amount of wrapping paper needed) is:

SA = 2π(1.3)(3.8 + 1.3)

SA = 2π(1.3)(5.1)

SA ≈ 41.82 square centimeters

So, the amount of wrapping paper needed to completely cover the cylinder is approximately 41.82 square centimeters.

Identify the relevant measurements of the cylinder: In this case, the problem states that the cylinder has a diameter of 2.6 centimeters and a height of 3.8 centimeters.

Calculate the radius of the cylinder: The radius of the cylinder is half of its diameter. So, divide the diameter by 2: 2.6/2 = 1.3 centimeters. Therefore, the radius of the cylinder is 1.3 centimeters.

Use the formula for the surface area of a cylinder: The formula for the surface area of a cylinder is SA = 2πr(h + r), where r is the radius of the cylinder and h is its height. Plug in the values for r and h: SA = 2π(1.3)² + 1.3π(3.8).

Thus, SA = 2π(1.3)² + 1.3π(3.8) is the equation that alculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder shown.

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Each payment should be $948.86, rounded to two decimal places

A sinking fund is a financial account or a reserve fund created by setting aside money periodically over a certain period of time to accumulate a sum of money needed to replace an asset or to repay a debt.

Compounding refers to the process of earning interest or investment returns on both the principal amount and the accumulated interest or returns from previous periods. In other words, compounding involves reinvesting the interest or returns earned on an investment, rather than withdrawing them, so that the investment grows at an increasing rate over time.

In the given question,

To determine the size of each payment that needs to be made at the end of every 2 months, we can use the formula for the future value of an annuity:

FV = Pmt x [(1 + r)^n - 1] / r

where FV is the future value, Pmt is the payment amount, r is the interest rate per period, and n is the total number of periods.

In this case, we know that the future value of the sinking fund should be $61,000, the interest rate per 2-month period is 5.9%/6 = 0.983%, and the total number of periods is 9 years x 12 months/year / 2 months/period = 54 periods.

Substituting these values into the formula, we get:

$61,000 = Pmt x [(1 + 0.00983)^54 - 1] / 0.00983

Solving for Pmt, we get:

Pmt = $61,000 x 0.00983 / [(1 + 0.00983)^54 - 1]

= $61,000 x 0.00983 / 0.6346

= $948.86

Therefore, each payment should be $948.86, rounded to two decimal places. .

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