Steven multiplies all the integers from -99 to -90, including -99 and -90 Should his answer be positive or negative? Explain your thinking.​

Answers

Answer 1

The product of all integers from -99 to -90, including -99 and -90, will be positive.

How to find the sign of the product

The product of an even number of negative integers will be positive, while the product of an odd number of negative integers will be negative.

In this case, we have 10 negative integers, which is an even number. Therefore, the product of all these integers will be positive.

However, the product of a positive and a negative integer is negative, so we need to keep track of the sign changes that occur when we multiply the integers.

We can start by multiplying the two extremes, -99 and -90. The product of these two integers is positive, so at this point, the answer is positive. However, as we multiply more and more of the integers between -99 and -90, we'll eventually reach an even number of positive integers

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Related Questions

Bella works at a popular clothing store. Last winter, her manager asked her to track the
store's sweater sales. This box plot shows the results.
Price of sweaters sold ($)
30
40
50
60
What fraction of the sweaters cost $50 or less?
80

Answers

Answer:

Answer is 1/2. Box plot is split into quarters. So 1/4 + 1/4 = 1/2

Each month, a phone company charges $35 for 600 minutes of talk time
plus $0.35 for each additional minute. Unlimited texting costs $20 more.
Write an expression to show the cost of a talk-and-texting plan for one
month, given x minutes over 600.

Answers

The requried expression that describes the cost of a talk-and-texting plan for one month, given x minutes over 600 is 35 + 0.35(x) + 20.

What are equation models?

The expression model is described as the model of the given situation in the form of an equation using variables and constants.

here,
The cost of a talk-and-texting plan for one month can be expressed as:

= 35 + 0.35(x) + 20

where x is the number of minutes over the 600 minutes included in the plan. The first two terms represent the cost of talk time, while the last term represents the cost of unlimited texting.

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Given f(x)=-x+2,find f(4)

Answers

Answer:

To find f(4), we simply need to substitute 4 for x in the equation for f(x):

f(x) = -x + 2

f(4) = -(4) + 2

f(4) = -2

Therefore, f(4) = -2.

Step-by-step explanation:

f(x)=x
2
−4
To find:
f(4)=?

Solution:
f(x)=x
2
−4
or, f(4)=4
2
−4

or, f(4)=16−4

or, f(4)=12

After the reflection of about X-axis,if the image of a point P is P’(-x,-y), in which quadrant does P lie and what is its coordinates?

Answers

The original coordinates are P(-x, y), and it is on the second quadrant.

In which quadrant does P lie and what is its coordinates?

Remember that for a general point (a, b), a reflection about the x-axis changes the sign of the y-component, so we will get the image (a, -b)

Here we know that the image after the refection is P' = (-x, -y), then the coordinates of point P are (-x, y)

If we assume both x and y to be positive, then point P would be on the second quadrant.

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Find the missing angle measurement.
?
OA) 3 degrees
OB) 13 degrees
OC) 23 degrees
OD) 90 degrees
67°

Answers

Answer:

23 degrees

Step-by-step explanation:

Sum of interior angles in a triangle = 180°


Sum of interior angles in the right- angled triangle in the question:
    67° + 90° + ? = 180°

= ? = 180° - 90° - 67°

? = Missing angle measurement = 23°

                                                           = 23 degrees

composite figure is shown. Which of the following represents the total area of the figure?

Answers

The total area of the composite figure can be found to be 24. 52 cm ²

How to find the total area ?

First, find the area of the first triangle :

= 1 / 2 x base x height

= 1 / 2 x 3 x 2. 7

= 4. 05 cm ²

The area of the second triangle :

= 1 / 2 x 3 . 4 x ( 6. 8 - 2 . 7 )

= 6. 97 cm ²

Then the area of the rectangle :

= 5 x 2. 7

= 13. 5 cm ²

The total area of the composite shape is :

= 13.5 + 6.97 + 4. 05

= 24. 52 cm ²

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Write the linear equation for the graph below.

pls help i’m failing mathhh:(

Answers

Answer: y = 6x

Step-by-step explanation:

Answer:

y = 6x

In real-world terms
x = number of sandwiches

y = total cost of x sandwiches in dollar amounts

Step-by-step explanation:

The first piece of advice I have for you is to have confidence in yourself that you will succeed. That is what learners and tutors here at brainly are for. To help out.

Now to explanation of the problem and solution
The linear equation of a graph can be written in a couple of ways. On ios the standard form which is of the form
Ax + By = C where A, B and C are constants

The other is in slope-intercept form which is written as
y = mx + b

Here m is the slope which is also referred to as rise/run. I will explain these terms as we solve the problem

b is the y-intercept. This is the y-value at which the line crosses the y-axis. It corresponds to the value of y when x = 0

Sometimes the graph will not show the complete line so we cannot determine where the line crosses the y-axis. In this case this determination is a cinch

Looking at the graph, we see the line crosses the y-axis at (0,0) which is the origin

Therefore the y-intercept is 0 and hence b=0

Hence we get the line equation as

y = mx + b
==> y = mx + 0
==> y = mx

Let's find m, the slope:
Take any two points on the line. Here two points have been identified as (1, 6) and (4, 24)

The difference in y-values for these two points is 24 - 6 = 18.
This difference in y-values is known as the rise since it is measured vertically

The corresponding difference in x values is 4  - 1 = 3
This is referred to as run because it is measured horizontally

The slope m = rise/run
Here m = 18/3 = 6

Therefore plugging in m = 6 the equation in slope-intercept form is
y = 6x

Slope has another meaning. It signifies the rate of change
In this particular case in real-world terms it means that the cost of sandwiches is proportional to the number of sandwiches

Every sandwich you purchase will cost you $6 more

So the cost per sandwich is $6

For 1 sandwich -→ $6,

For 2 sandwiches → $12

For 7 sandwiches → $42

and all this is clearly evident in the graph

Hope that helps you and good luck on all your subjects

Hi , please help and explain fully ! ( I don't understand how to work this one out)

Answers

1. First off let’s remove the fraction on the right hand side. Therefore we multiply 2x+5 times both the sides. The left side cancels out and leaves x+1. The right side is 2x•6 and 5•6 which is 12x+30. We now have the equation x+1=12x+30.

2. Now we subtract 1 from both sides.
x+1=12x+30
-1 -1
x=12x+29

3. Now subtract 12x from each side.
x=12x+29
-12x -12x
-11x=29

4. Now we need to divide both sides by the same factor.
-11x/-11=29/-11

X= -29/11

If you need more help I can draw it out on paper for you:))

Solve the L.P.P graphically- Maximize z=y-2x subject to x-y >=2 ,x + y<=4 , x>=0 ,y>=0

Answers

Answer: 8y=2h

Step-by-step explanation: you have to subtract the first 2 numbers then add the others and then add letters and boom

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation
can
be used to find the number of tickets sold in advance?
800+8
100
• 35+8 4.375
100+8 12.5
800+8 100
35x8
280
800 x8 6400
35x8 280
O 100x8 800

Answers

The equation which represents the number of tickets sold in advance is 0.35 × 800

Which equation can be used to find the number of tickets sold in advance?

Total tickets sold for a play = 800

Percentage of tickets sold in advance= 35%

Number of tickets sold in advance= Percentage of tickets sold in advance × Total tickets sold for a play

= 35% × 800

= 0.35 × 800

= 280 tickets

In conclusion, 280 tickets were sold in advance.

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how to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder ?

Answers

To properly measure the volume of water in a calibrated glass device such as a graduated cylinder, follow these steps:

Place the graduated cylinder on a flat, level surface.Record the volume to the nearest graduation mark, taking care to estimate any volume that falls between two graduation marks.Repeat the measurement several times to ensure accuracy and consistency.If the water is not clear, you may need to compensate for the effects of the air bubbles that are trapped in the water by gently tapping the cylinder. This will release the bubbles and help to give a more accurate reading.Read the scale of the cylinder from the bottom of the meniscus, which is the curved surface of the liquid. The meniscus should be read at eye level to eliminate parallax error.If necessary, adjust the cylinder so that the scale is straight and the meniscus is centred over the scale.Always rinse the graduated cylinder with distilled water before and after each use to prevent contamination and ensure accuracy.

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Julie wants to make an open-top box by cutting out corners of a square piece of cardBoard and folding up the sides. The cardboard is 10 centimeters by 17 centimeters. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in centimeters of the square cut outs

Answers

The expression for V(x) can be written as:

V(x) = (10 - 2x)(17 - 2x)(x)

The volume of the box when x = 3 is 132 cubic centimeters.

Find the volume

To find the volume of an open-top box, we need to find the product of its length, width, and height. In this case, the length and width of the box will be the original dimensions of the cardboard minus twice the side length of the square cutouts, and the height will be the side length of the square cutouts.

a) The expression for V(x) can be written as:

V(x) = (10 - 2x)(17 - 2x)(x)

b) To find the volume of the box when x = 3, we simply need to plug in the value of x into the expression for V(x) and simplify:

V(3) = (10 - 2(3))(17 - 2(3))(3)

V(3) = (10 - 6)(17 - 6)(3)

V(3) = (4)(11)(3)

V(3) = 132

Therefore, the volume of the box when x = 3 is 132 cubic centimeters.

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compute the number of ways you can select 3 elements from 7 elements.
a. 343
b. 10
c. 21
d. 35

Answers

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional

Answers

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Create a large coordinate graph on graph paper
and graph the triangle at right. Multiply the
y-coordinate of each point by 4. Then graph the
new shape. Make sure you connect your points.
List the points for the new shape. Are the two
figures similar? Why or why not?

Answers

The two figures (i.e. triangles) are similar triangles

How to determine if the triangles are triangles

Let's create a triangle with the following coordinates:

A = (0, 0)

B = (3, 0)

C = (0, 4)

To get the new coordinates, we need to multiply the y-coordinate of each point by 4:

A' = (0, 0 * 4)

B' = (3, 0 * 4)

C' = (0, 4 * 4)

So the new points are:

A' = (0, 0)

B' = (3, 0)

C' = (0, 16)

To determine if the two figures are similar, we need to check if they have the same shape but different sizes.

Specifically, the new triangle is four times larger in the vertical direction but has the same shape and angles as the original triangle.

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what are the domain and range of the following quadratic

Answers

Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Select the graph of y = csc x.

Answers

Graph of y = cosec x is attached below.

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Given function,

y = cosecx

when x = (π/2)

y = cosec (π/2)

y = 1

when x = π

y = cosec π

y = ∞

when x = 3π/2

y = cosec 3π/2

y = -1

By the calculation, graph of y = cosecx is drawn as follows.

Hence, graph of y = cosecx is attached below.

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y=4x a proportionail relationship

Answers

Answer:

If you are asking if y = 4x is proportional, the answer is yes.  It is linear and it goes through the origin.

Step-by-step explanation:

Find the volume of a triangular prism calculator

Answers

To find the volume of a triangular prism, you will need to use the formula V = (1/2)bhL, where V is the volume, b is the base of the triangular prism, h is the height of the triangular prism, and L is the length of the triangular prism.

Volume of triangular prism

Here is a step-by-step explanation on how to find the volume of a triangular prism:

Step 1: Find the base of the triangular prism. This will be one of the sides of the triangular base.

Step 2: Find the height of the triangular prism. This will be the distance from the base to the opposite vertex.

Step 3: Find the length of the triangular prism. This will be the distance between the two triangular bases.

Step 4: Plug in the values for the base, height, and length into the formula V = (1/2)bhL.

Step 5: Simplify the equation to find the volume of the triangular prism.

For example, if the base of the triangular prism is 4, the height is 3, and the length is 6, the volume would be:

V = (1/2)bhL

V = (1/2)(4)(3)(6)

V = 36

So, the volume of the triangular prism is 36.

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Help me please!! T^T

Answers

The length of line FG is 16 units

How to find length of FG

The length of FG is equal to length GH that is to say

line FG = line GH

From the problem, we have that

FG = x  + 11

GH = 3x + 1

Equation both lines

x + 11 = 3x + 1

collecting like terms

11 - 1 = 3x - 1

10 = 2x

rearranging and isolating x

2x = 10

x = 5

The line FG = x + 11 = 5 + 11 = 16 units

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a frequency distribution usually has equal bin widths. T/F

Answers

A frequency distribution usually has equal bin widths is the true statement.

All the line charts are not used for the purpose of cross-sectional data. A scatter plot is very useful in this process of visualizing trends over time. A scatter plot essentially requires two quantitative variables (i.e., not categorical data).

The difference of the maximum and minimum values is divided by the number of bins.

1. Identify the maximum and minimum values of the quantitative data.

2. Subtract the minimum value from the maximum value to get the difference

3. Divide the difference by the number of bins to get the approximate width of each bin

The width of the bins in a frequency distribution of quantitative data can be estimated by dividing the difference between the maximum and minimum values of the data by the desired number of bins. This will provide an approximate size for each bin, that can then be used to construct the frequency distribution.

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When Xochitl runs the 400 meter dash, her finishing times are normally
distributed with a mean of 84 seconds and a standard deviation of 2.5
seconds. Using the empirical rule, determine the interval of times that
represents the middle 68% of her finishing times in the 400 meter race.

Answers

Answer: The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, the mean of Xochitl's finishing times is 84 seconds and the standard deviation is 2.5 seconds, so the interval that represents the middle 68% of her finishing times is:

[84 - 2.5, 84 + 2.5] = [81.5, 86.5]

So, we can conclude that the middle 68% of Xochitl's finishing times in the 400 meter race fall between 81.5 and 86.5 seconds.

Step-by-step explanation:

In a certain board game, a 12-sided number cube showing numbers 1 through 12 is rolled. In this game, a number cube must be rolled until a number 9 or higher appears. What is the probability that the first such number is on the 3rd roll? startfraction 1 over 27 endfraction startfraction 4 over 27 endfraction startfraction 8 over 27 endfraction startfraction 19 over 27 endfraction.

Answers

The probability of rolling a 9 or higher on the 3rd roll is 4/27, or approximately 14.8%.

Probability is a branch of mathematics that deals with determining the likelihood or chance of an event occurring. It is often expressed as a fraction or a percentage.

Conditional probability is the probability of an event happening given that another event has already happened.

The probability of not rolling a 9 or higher on the first roll is 8/12 or 2/3, as there are 8 numbers on the cube that are less than 9.

The same is true for the second roll, so the probability of not rolling a 9 or higher on the first two rolls is (2/3) * (2/3) = 4/9.

The probability of rolling a 9 or higher on the third roll is 4/12 or 1/3, as there are 4 numbers on the cube that are 9 or higher.

So, the probability of rolling a 9 or higher on the third roll given that the previous two rolls did not result in a 9 or higher is

=> (4/9) * (1/3) = 4/27

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The sum of 4 44 consecutive integers is 198 198198. What is the fourth number in this sequence?.

Answers

With the sequence having sum of four consecutive integers as 198 , the fourth integer in the sequence is calculated to be 51.

Let's call the first integer in the sequence "x". Since the integers are consecutive, the next three integers in the sequence would be "x + 1", "x + 2", and "x + 3". The sum of these four integers can be represented as:

x + (x + 1) + (x + 2) + (x + 3) = 198

Expanding and simplifying the left side of the equation, we get:

4x + 6 = 198

Subtracting 6 from both sides of the equation, we get:

4x = 192

Dividing both sides of the equation by 4, we get:

x = 48

So the first integer in the sequence is 48. To find the fourth integer in the sequence, we add 3 to the first integer:

x + 3 = 48 + 3 = 51

So the fourth integer in the sequence is 51.

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I’m stuck on this, can smb help me

Answers

The only coordinate solution in the table is (8, -9), the other coordinates are not a solution.

Finding the solution to a linear equation.

A linear equation is an equation that has a leading degree of 1.  Given the linear equation below:

4x + 5y = -13.

We are to determine the coordinates that form a solution.

For (8, -9)

4(8) + 5(-9) = 32 - 45

4(8) + 5(-9) = 13

Hence the coordinate (8, -9) is a solution

The other given coordinates are not a solution since the result on substituting their coordinate will not result in. -13

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what is the value of x? enter your answer in the box.______ units

Answers

The value of x is 8 units by using Pythagorean theorem.

If x and 6 are the lengths of the legs of a right triangle and the length of the hypotenuse is 10, then we can use the Pythagorean theorem to find the value of x.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

So in this case:

x^2 + 6^2 = 10^2

Expanding the squares and solving for x:

x² + 36 = 100

x² = 100 - 36

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

So the value of one leg of x is 8 units and other which is given is 6 units.

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____ The given question is incomplete, the correct question is given below:

What is the value of x?

Enter your answer in the box.

x=

A right triangle. The legs are labelled x and six, and the hypotenuse is labelled ten.

Keith needs to buy some pencils. Brand A has a pack of 24 pencils for $8.77. Brand B has a pack of 26 pencils for $9.84.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils:
Unit price for the Brand B pencils:
The better buy:
O Brand A
O Brand B
for each pencil
$for each pencil
Neither (They have the same unit price)

Answers

The brand that is the better buy based on their unit price is; Brand A

How to find the Unit Price?

A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.

It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.

Thus;

Unit price of Brand A = 8.77/24 =$0.365 per pencil

Unit price of Brand B = 9.84/26 = $0.378 per pencil

The cheaper one is the better buy which is Brand A.

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how many seconds in a year riddle

Answers

Number of seconds in a year riddle will be 31,536,000 seconds in a year ((24 x 60 x 60) x 365).

To calculate number of seconds in year riddle, we need to calculate the no. of seconds in each month.

There are a total 12 months and each month consists of 31, 30 and 28 days respectively.

Now, calculating the number of seconds in each month multiplying the count of months with respect to the number of days in that month.

In January, March, May, July, August, October, December : 31x24x60x60=26,78,400x7=1,87,48,800

In Feb: 28X24x60x60=24,19,200

In April, June, September, November: 30x24x60x60=25,92,000x4=1,03,68,000

Now add all the values: No of Seconds in year riddle = 1,87,48,800+24,19,200+1,03,68,000

Totally the value will be equal to 3,15,36,000 seconds.

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Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.
2 in.
R
135°
3 in.
√18 in.
45°
S
5 in.
Lynn draws quadrilateral WXYZ, which is similar to quadrilateral QRST, with WX = 5 in
Enter values in the blank boxes to make the statement true.
The length of WZ is
2
degrees.
inches and the measure of angle Y is

Answers

The value of length WZ is 7.5 in and angle Y is 45°

What are similar shapes?

Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes.

therefore;

WZ /QT =WX/QR

represent WZ by x

x/3 = 5/2

2x = 15

x = 15/2

x = 7.5

therefore the value of WZ = 7.5 in

Since the two quadrilaterals are similar angle Y is 45°

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Write an equation for the table.
Pls help!

Answers

Answer:

y = -3x + 10

where y = Value and x = Position

or

Value = - 3(Position) + 10

Step-by-step explanation:

We can determine a linear equation for this table in slope-intercept form

The slope intercept form of a linear equation is

y = mx + b

y is referred to as the dependent variable and x the independent variable

Here m is the slope which is the rate of change of y with respect to x

b = y-intercept which is the value of y when x = 0

For the given table it appears that the value is dependent on the position

So the independent variable, let's call it x, is position

The dependent variable, y, is value

Plugging values of x, y into the generalized equation

y = mx + b

At x(position) = 1, we get y = 7
==> 7 = m(1) + b  
==> 7 = m + b
== m + b = 7         ............................. (1)

At x = 3, y = 1

==> 1 = m(3) + b
==> 1 = 3m + b
==> 3m + b = 1       ..............................(2)

If we subtract  equation 1 from equation (2) we get
(3m + b) - (m + b) = 1 - 7

3m - m + b - b = -6

2m + 0 = -6

2m = -6

m = -6/2 = -3

So we now know m = -3 we can write the equation as

y = -3m + b

To find b, plug in any value of x and corresponding y from the table and solve for b. remember that x is position and y is value

Let's choose the last entry x = 9, y = -17

Plugging these into y = -3x + b gives

-17 = -3(9) + b

-17 = -27 + b

Switch sides:
- 27 + b = -17

Add 27 to both sides:
- 27 + 27 + b = -17 + 27

b = 10

So the equation for the table is

y = - 3x + 10

or in terms of the table
Value = - 3(Position) + 10

You can check this is correct by choosing a value for position from the table and seeing the equation value is consistent with the given value

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1.28 Vector operations and units. (Chapter 2) Circle the vector operations below (scalar multiplication, addition, dot-product, etc.) that are defined for a position vector a (with units of m) and a velocity vector b (with units of P. a+b 1.29 Using vector identities to simplify expressions (refer to Homework 1.13). One reason to treat vectors as basis-independent quantities is to simplify vector expressions with- out resolving the vectors into orthogonal x, y, z or i k components. Simplify the following Vector expression (3u-29) x (u + v) vector expressions using various properties of dot-products and cross-products Simplified vector expression Express your results in terms of dot-products - and cross- products x of the arbitrary vectors . v. w (ie.. . v, w are not orthogonal). 2 1.30 Vector concepts: Solving a vector equation. (Section 2.10.5) Consider the vector equation to the right and the process that follows that solves for (a, is a unit vector and v,, , R are scalars). This process is a valid way to solve for . True/False Explain: vr ax 0 IWhich text do you use to write an informative essay? Mention at least three. 70 faculty members at a school 14 of the faculty members are male. what percentage of the faculty is female? please show your work. Solve the system of equations using the substitution method. y = 7x 16, y = 2(2x 5) What is the solution? As a woody stem grows, the epidermis is lost and its function is taken over by the _____.a)peridermb)pericyclec)ground tissued)vascular cambiume)secondary phloem TRUE/FALSE. Despite the importance of ethical behavior for business success, few Fortune 500 companies have codes of ethics to resolve ethical dilemmas. What is an example of stimulus diffusion in AP Human Geography? Time management involves all of the following EXPCEPT oxygen-poor blood enters which chamber of the heart? Write a 2 paragraph essay describing the laws of thermodynamics. Use examples related to biology to support your ideas. What is the central idea of the book "Out of My Mind"? most comets have short periods and orbit close to the ecliptic plane.True or False Please please please heeeeeeelp how did PDP develop their beliefs in Nigeria? nsa has identified what they call the first principles of cybersecurity. the following list three of these: principle last name starts with domain separation a through h simplicity of design i through q minimization r through z for your discussion, describe the principle assigned to the first letter in your last name (in the above table). include practical examples of the concepts. your post must display your understanding of the topic beyond the simple description. Open a blank Word document and follow MLA formatting for the top of the page. (Refer to the MLA Format Information located in the Writing Information folder.)Assignment title to be centered on the document: Assignment #3 Thinker ProjectNumber from one through five (#1-5; one number for each restaurant you have chosen) on the left side of the document.Each number must have at least one paragraph (double-spaced) next to it. In each paragraph, you will name one of the restaurants that you have chosen and explain why you chose it.For each of your chosen restaurants, make sure to consider and address:each of the School Board members concerns -- The three voting members of the Board, Dr. Leslie Tucker, Mr. Cash, and Mr. Muir must reach a consensus on your plan. They must all agree that the plan is acceptable.profitability (Be specific! Use numbers from the attached documents)student preferences In the figure below, points E, G, A, B, and C lie in plane X.Points D and F do not lie in plane X.For each part below, fill in the blanks to write a true statement. Which of the following is a characteristic of emotions?A) Emotions are reactions to a person or event.B) Emotions last for a longer time period than moods.C) Emotions are never action-oriented in nature.D) Emotions lack a contextual stimulus.E) Emotions involve less intense feelings than moods. Transmembrane proteins are able to span the hydrophobic portion of the bilayer because they have? Characteristics of allergic purpura lesions include which of the following? (Select all that apply.)a. Fever and itching b. Easily palpatated lesions c. Bleeding from the lesionsd. Lesions located on the facee. Lesions located on the trunk