Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

The number of degrees that ABC has been rotated counterclockwise about the origin is: A. 90°

We can define a degree (°) as a way of angle measurement according to application in mathematics geometry.

When something moves clockwise, it is said to move in the direction of a clock hand, which is to move to the right while counterclockwise is going against the normal direction of a clock thereby moving to the left.

Hence we can conclude by saying since the diagram was only rotated backward once, it is calculated to have done a 90° counclockwise movement

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It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.

To solve this problem, we can use the formula:

Time = Work ÷ Rate

Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.

Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).

Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).

If they work together, their combined rate of work is the sum of their individual rates:

Rate = Maria's rate + New clerk's rate

Rate = 1/12 + 1/13

Rate = (13 + 12) / (12 x 13)

Rate = 25 / 156

So, their combined rate of work is 25/156 jobs per hour.

Now, we can use the formula to find the time it takes for them to complete the job together:

Time = Work ÷ Rate

Time = 1 ÷ (25/156)

Time = 156/25

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Let's use the following formula:

Where:

V1 = Old value

V2 = New Value

In this case.

Old value = 0.2

New Value = 2.19

Therefore:

Answer:

995%

Answer:

Down below

Step-by-step explanation:

   a. Net income= $100,000 (as given in the question)

   b. Return on equity= (net income)/(shareholder’s equity)

Shareholder’s equity= $400,000

Thus return on equity= 100000/400000 = 0.25  or 25%

   a. Net income= $100000 + 50000 –  12800 (debt interest 8% of     $160000)

= $137,200

b. Return on equity= (net income)/(shareholder’s equity)

= 137200/400000

=0.343  or 34.3%

a. Net Income= $100000 + 50000

= $150000

b. Return on equity= (net income)/(shareholder’s equity)

= 150000/(400000 + 160000)

Where ($560,000) 400000 + 160000 is shareholder’s equity

= 0.27 or 27%

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

Answer:

33.33%

Step-by-step explanation:

Formula for calculating Percentage change =

New Price - Old Price     x 100

         Old Price                        1

Where new price is $8

Old Price is $6

Step 2: Input the variables in the above formula

          $8 - $6    x    100

            $6                 1

        =   $2      x  100

             $6

= $0.333 x 100 =    33.33%

Percentage change  = 33.33%

Answer:

The y-intercept of Function A is less than the y-intercept of Function B.

Step-by-step explanation:

Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.

m<1 + m<3/2 +m<4/2 =180

125+10 +m<4/2=180

135 +m<4/2 =180

m<4/2 =180-135

m<4/2 =45

m<4 = 90

Answer:

\( \frac{1}{x {}^{2} y {}^{4} }\)

Step-by-step explanation:

\( \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } \)

\(x {}^{ - 2} = \frac{1}{x {}^{2} } \)

\(therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }\)

Answer:

In the given sequence first term is 1 and the common ratio is 2. Hence nth term would be 2n−1 Note that r = a term previous term = 2 1 = 4 2 = 8 4 = 16 8 = 2

Step-by-step explanation:

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

181

Step-by-step explanation:

Answer:

181

Step-by-step explanation:

Just Cause.

The equation of his trend line will be C. y = 3.25 x minus 1

The scatterplot shows the distribution of the students' spending habit. From the scatter plot, the points are given.

So, the slope (m) of the trend line is:

m = 15.25 - 5.5 / 5 - 3

m = 3.25

The equation of the trend line will be:

y = 3.25 (x - 3) + 5.5

y = 3.25x - 1

The equation of the trend line is y = 3.25x - 1

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Answer:

C: 7= 3.25x-1

Step-by-step explanation:

The graphs of the functions after the transformations are given at the end of the answer.

The function for part A is given as follows:

f(x) = x + 7.

The transformation is given as follows:

-2f(x).

Hence the definition of the transformed function is of:

-2(x + 7) = -2x - 14.

Meaning that the function was reflected over the y-axis, due to the multiplication by the negative number, and then vertically stretched by a factor of 2.

The function for part A is given as follows:

f(x) = 2x + 1.

The transformation is given as follows:

2f(x) + 3

Hence the definition of the transformed function is of:

2(2x + 1) + 3 = 4x + 5.

Then the transformations are:

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The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²

What is a Parallelogram ?

A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.

Given : base of parallelogram = 4+2= 6 ft

            height of the parallelogram = 6ft

We know that, area of a parallelogram = base × height

So, Area of the given parallelogram = 6 × 6

                                                           = 36 ft²

Hence, The correct option is (d).

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

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

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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Answer:

f(x) = ax + b,

Step-by-step explanation:

Am Not Really Sure About The Answer, So Pls Try And Cross Check It

Answer:

How many days will it take for the water to be 4m high?

Step-by-step explanation:

use the missing variable.

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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The equation for the translation of \(x^{2} +y^{2}=64\), three units to the left and two units down is option (b) \((x+3)^2+(y+2)^2=25\)

The equation is  \(x^{2} +y^{2}=64\)

The standard form of the circle

\((x-h)^2+(y-k)^2=r^{2}\)

Where r is the radius of the circle

(h,k) are the coordinates of the center of the circle.

The equation is  \(x^{2} +y^{2}=64\)

The center is (0,0)

Here the circle translated three units to the left

Therefore h = -3

The circle is translated two units down

k = -2

Substitute the values in the standard form of the circle

\((x--3)^{2}+(y--2)^{2}=25\)

\((x+3)^2+(y+2)^2=25\)

Hence, the equation for the translation of \(x^{2} +y^{2}=64\), three units to the left and two units down is option (b) \((x+3)^2+(y+2)^2=25\)

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"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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For the given quadratic function f(x)=1/5x²-5x+12, The value of f(-10)=82, The graph of the function is a parabola and the graph contains (20,-8) both points are true.

What exactly is a quadratic function?

A quadratic function is a polynomial function with one or more variables in which the variable's maximum exponent is two. Because the greatest degree term in a quadratic function is of the second degree, it is sometimes referred to as the polynomial of degree 2. The minimal term of a quadratic function is of the second degree. It is a mathematical function.

The parent quadratic function has the form f(x) = x² and links the points with the coordinates (number, number²).

Now,

putting x=-10 in function  f(x)=1/5x²-5x+12

=1/5(-10*-10)-5*-10+12

=20+50+12

=82

and as we can see from graph it contains (20, -8) and has parabolic shape.

hence,

       For the given quadratic function f(x)=1/5x²-5x+12, The value of f(-10)=82, The graph of the function is a parabola and the graph contains (20,-8) these three points are true.

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