Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.

A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Answer:

Step-by-step explanation:

mhm?

When the object is located at a location in front of the focal point, the image will always be located somewhere on the same side of the lens as the object. In this case, the image is enlarged; in other words, the image dimensions are greater than the object dimensions.

The total distance of the race was 68 miles

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

The total distance can be determined from the fractions.

Consider that d represent the total distance of the race.

The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.

Thus,

 Remaining = total distance - distance running - distance swimming

 17 mi = d -1/2d -1/4d = 1/4d

Use known fractions

68 mi = d

The total distance of the race is 68 miles.

This race has a 17-mile swimming segment, that would take a fast swimmer on the order of 8 hours, by itself.

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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

the product of the decimal equivalents of all discount in the series

The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Step-by-step explanation:

\(2015 \: - \: (2015 \: \div \: 5(x \: - \: 5) \: \div 5) \: = \: 2014\)

\(2015 \: - \: (403 \: \times \: \frac{x \: - \: 5}{5} ) \: = \: 2014\)

\(2015 \: - \: \frac{403(x \: - \: 5)}{5} \: = \: 2014\)

\(2015 \: - \: \frac{403x \: - \: 5}{5} \: = \: 2014 \)

\(10075 \: - \: (403x \: - \: 2015) \: = \: 10070\)

\(10075 \: - \: 403x \: + \: 2015 \: = \: 10070\)

\(12090 \: - \: 403x \: = \: 10070\)

\( - 403x \: = \: 10070 \: - \: 12090\)

\( - 403x \: = \: - 2020\)

\( \boxed{ \bold{x \: = \: \frac{2020}{403} }}\)

Answer:

3(x+6) =2

3x+18 =2

3x=2-18

3x=16

x=16/3

x=5.33333333

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Answer:

about 41 cents

Step-by-step explanation:

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

well what is 1/5 of 1500, thats all you have to do

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:

\(15 \times 2.205 = 33.0693 \: lb\)

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

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Answer:

The standard form is 3x-5y-30=0

Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.

The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.

The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.

The yield to maturity can also be computed using the following formula:

YTM = [(Face value/Bond price)1/Time period]-1.

Face (par) value = $100

Bond current price = $113 ($100 x 113%)

Annual coupon rate = 8.9%

Coupon frequency = Semi-annually

Years to maturity = 15 years

Result:

Yield to maturity (YTM) = 7.45%

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The general solution is a set of infinitely many solutions that satisfy the system. The augmented column of the RREF contains the coefficients of the variables that can be arbitrary, allowing for an infinite number of solutions.

The general solution provides a relationship between the variables that satisfies the system, but it does not give specific values for the variables. To find specific values, additional information, such as boundary conditions or initial conditions, is required

.i) This system of linear equations is inconsistent because the third equation, -3x1 + 7x2 = 37, contradicts the first equation, 4x1 - 7x2 = -33. This means that there is no solution that satisfies all three equations simultaneously.

(ii) (1) The conditions for the augmented column of the RREF to be the solution to the system is that the system must be consistent and the number of variables must equal the number of non-trivial (non-zero) rows in the RREF.

(2) In the case of a unique solution to a system with more equations than variables, the solution should be obtained by solving the system using a method such as Gaussian elimination or Gauss-Jordan elimination to reduce the system to its RREF. The values of the variables are then read off from the non-trivial rows of the RREF.

(3) In the case of a consistent system where there are more variables than equations, the information contained in the augmented column of the RREF is the general solution to the system

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The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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Answer:

Step-by-step explanation:

The closer together the points are to a line that can be drawn, the stronger the association.

1.  weak is B, the points are all over the place and a clear line can't even be drawn

2.  moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line

3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.

Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.

Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.

$8 was spent in total.

Xavier bought four $1.25 snacks.

4 x 1.25 = $5

The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).

Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.

Therefore, the answer is $1.50.

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