what is 4.32 x 10^4 written in standard form

Midpoint

We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.

This can be visualized as follows:

Since AB=7, then BC = 7 and AC=AB+BC = 14

Answer: BC = 7, and AC=!4

Option (a) T2 = identity transformation. (b) The kernel of T is the zero matrix. (c) Every matrix is in the range of T. this are true extra properties.

The transformation T that transposes every matrix is indeed linear.

Let's analyze each of the extra properties:

(a) T² = identity transformation: This is true. When you transpose a matrix twice (apply T twice), you get the original

matrix back.

Step 1: Apply T to a matrix M to get its transpose M'.

Step 2: Apply T to the transpose M' to get (M')' which is equal to M.

(b) The kernel of T is the zero matrix: This is true. The kernel of T consists of all matrices M such that T(M) = 0. Since the

transpose of a zero matrix is still a zero matrix, the kernel of T only contains the zero matrix.

(c) Every matrix is in the range of T: This is true. Given any matrix M, there exists another matrix M' such that T(M') = M.

This is because T(M') = M implies M' = T(M), so the transpose of any matrix M can be found by applying T to M.

(d) T(M) = -M is impossible: This is false. It is possible for T(M) = -M in the case of skew-symmetric matrices. A skew

symmetric matrix M satisfies the property that its transpose M' = -M.

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The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

All the statement is true.

We have,

The zeroes of a function are the values of x that make the function evaluate to zero.

The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.

The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.

Now,

From the graph,

The function is zero at x = 1 and x = -3

So,

The function has two zeroes.

And,

The vertex of the function.

= (-1, -4)

And,

At x = 0, y = -3.

(0, -3)

This is the y-intercept.

Now,

From the graph,

The minimum of the function is at x = -1.

Thus,

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

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Answer:

yes its correct

Step-by-step explanation:

The line cuts the X axis at \(x=3\) and is parallel to the Y axis.

Thus the equation of the line is $\boxed{x=3}$

Answer:

The equation of the line is x = 3.

Step-by-step explanation:

When a line is parallel to the y-axis, its gradient will be undefined. There is no y-intercept and the line touches x-axis so the equation is x = 3.

Answer:

70%.

Step-by-step explanation:

That would be (294/420) * 100

= 0.7 * 100

= 70%.

There are approximately 1.0875 milligrams of iron in 87 grams of food that contains 0.00125% iron.

To find the amount of iron in 87 grams of food, we first need to convert the percentage into a decimal. The food contains 0.00125% iron, which is equivalent to 0.0000125 as a decimal.

Next, we multiply the decimal by the weight of the food to determine the amount of iron in grams. So, 0.0000125 x 87 = 0.0010875 grams of iron.

Since we want the answer in milligrams, we need to convert grams to milligrams. There are 1,000 milligrams in one gram. Therefore, 0.0010875 grams is equal to 1.0875 milligrams.

It's worth noting that this calculation assumes a homogeneous distribution of iron throughout the food sample. In reality, the iron content may vary within different parts of the food or across different food items.

Additionally, the accuracy of the iron content measurement and the precision of the percentage value provided can also impact the final result.

Therefore, it's always advisable to consult reliable sources or conduct laboratory tests for precise and accurate nutrient information.

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Answer:

x = 2 or x = 1

Step-by-step explanation:

Choose some numbers for pizza (x), like, x=1, 2, 3, 4, 5

Then find the corresponding values of y for every value of x.

when x=1, and y=20; y=12+8(1)=20

when x=2,y=28

when x=3, y=36

when x=4, y=44

Then go to the graph, identify the point where x=1 on the Pizza-axis, and where y=20 on the cost axis, then trace these points till they intersect, the point of intersection is where the line graph passes.

Repeat the above steps for the point where x= 4 on the Pizza-axis, and y=44 on the cost-axis.

the exponential smoothing forecast model for stock A has been given below according to the given data for the stock.

The Exponential smoothing forecast method, For smoothing factor a=0,3. Damping factor B=1-a=1-0.3 = 0.7. The Exponential smoothing forecast is obtained in excel by following these steps, Step 1: Write the data values in excel. Step 2: DATA > Data Analysis > Exponential Smoothing > OK. Step 3: Select Input Range: Sales column, Damping factor = 0.7.

The forecast is obtained.

A                                   Forecast

126.57                              -------

124.73                             126.57

126.38                            126.02

126.88                            126.13

129.08                            126.35

130.01                             127.17

128.31                             128.02

128.45                            128.11

129.72                            128.21

129.61                             128.66

132.52                            128.95

132.42                            130.02

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Complete Question

The accompanying dataset provides the closing prices for four stocks and the stock exchange over 12 days. Complete parts a through c. Click the icon to view the closing prices data. a. Use Excel's Data Analysis Exponential Smoothing tool to forecast each of the stock prices using simple exponential smoothing with a smoothing constant of 0.3. Complete the exponential smoothing forecast model for stock A. Date A B C D Stock Exchange 09/03/2010 126.82 18.35 21.09 15.46 10,376.38 09/07/2010 125.67 18.02 20.74 15.53 10,375.71 09/08/2010 126.38 17.96 20.49 15.57 10,488.12 09/09/2010 126.23 18.02 20.44 15.99 10,430.85 09/10/2010 128.65 18.15 20.77 15.83 10,487.31 09/13/2010 129.27 18.68 21.22 16.28 10,626.84 09/14/2010 129.87 18.92 21.61 16.02 10,590.61 09/15/2010 129.93 18.67 21.55 16.39 10,468.95 09/16/2010 130.48 19.16 21.93 16.31 10,691.08 09/17/2010 129.96 18.97 22.05 16.21 10,713.72 09/20/2010 133.04 18.83 21.54 16.45 10,664.04 09/21/2010 131.48 19.31 21.43 16.58 10,849.54

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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Step-by-step explanation

dab and aeb

they are adjacent

A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

========================

Given series:

We notice that this is a geometric progression.

The common ratio is:

To find the next term multiply the last term by the common ratio:

The 4th term is:

Answer:  416.7

250/12 = 20.8

20.8 x 20 = 416.7

Answer:

See below

Step-by-step explanation:

\(2(4x + 1) = 4(2x + 5)\)

\(8x + 2 =8x + 20\)

\(\nexists x \in \mathbb{R} \text{ That makes the equality true}\)

The equation has no solution because no matter what the value we plug for \(x\) in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

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Answer:

[A] 9 minutes to complete one task

[B] 6 tasks completed, with 2/3rds of another task completed.

Step-by-step explanation:

5 tasks in 45 mins is equal to one task in 9 minutes

60 minutes in an hour, 9 minutes per task = 6 tasks completed, with 2/3rds of another task completed.

Answer:

D

Step-by-step explanation:

Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.

Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.

To obtain the solution to the system of equations represented by the graph, the following steps are necessary:

Step 1: Locate the point where the two lines meet

Step 2: Trace the point where the two points meet to the vertical and horizontal axis

Step 3: Read off the values at the two axes, as follows:

- On the vertical axis, the value is 2, thus: y = 2

- On the horizontal axis, the value is -2, thus: x = -2

Therefore, the solution to the system of equations represented by the graph is (-2, 2)

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

x= 1/8 or 0.125

Step-by-step explanation:

8x=1

x=1/8

Answer:

1/8 is the answer

Step-by-step explanation:

welcome have a good day

Answer:

2 days

Step-by-step explanation:

We want to divide 1 1/2 by 3/4

1 1/2 ÷ 3/4

Change the mixed number into an improper fraction.

3/2 ÷ 3/4

Copy dot flip

3/2 * 4/3

Rewrite

3/3 * 4/2

1 * 2

2

It will last 2 days

Answer:

90 degrees

Step-by-step explanation:

We can take a look at that each these triangles are in truth right triangles, seeing that the two angles of and both have measures of 90 degrees.

Answer:

2.2 × 10³ mm³

Step-by-step explanation:

We have a triangular prism with the following dimensions:

Altitude: 20.5 millimeters

Base: 16 millimeters

Height: 13.3 millimeters

We can calculate the volume of a triangular prism using the following expression.

V = (1/2 × Altitude × Base) × Height

where,

(1/2 × Altitude × Base) is the area of the base

V = (1/2 × Altitude × Base) × Height

V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³

Answer:

Option 2

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

Answer:

square root of 2, 3, square root of 11

Step-by-step explanation:

Kylie's lifetime earnings is estimated to be $321, 720.

We must figure out her monthly salary and multiply it by the total number of years she worked in order to find the answer to this problem.

Kylie will be 28 years old when she graduates if the mean weekly wage of her career is $1915.00

So, she will work a total

= 70 - 28

= 42 years.

Then, her lifetime savings will be

= (1915 x 42 x 4)

= $321, 720.

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