Find the product.
(6t - 3ax)(t+ ax)
Enter the corr

Answers

Answer 1

Answer:

Step-by-step explanation:

(6t - 3ax)(t+ ax)

use FOIL

6\(t^{2}\) +6tax - 3tax -3\((ax)^{2}\)

6\(t^{2}\) + 3tax - 3\((ax)^{2}\)


Related Questions

Which ordered pair is not in the solution set

Which ordered pair is not in the solution set

Answers

Answer:

c

Step-by-step explanation:

because by add and subtracting

PLEASE HELP!!!!!! ASAP!!!!!!!!!! THANK YOU!!!!!!!!!!!!!

PLEASE HELP!!!!!! ASAP!!!!!!!!!! THANK YOU!!!!!!!!!!!!!
PLEASE HELP!!!!!! ASAP!!!!!!!!!! THANK YOU!!!!!!!!!!!!!

Answers

Answer:

I am so sorry. I cannot help you because I cannot see the pictures.

Step-by-step explanation:

*UNIT RATE AND PROPORTIONS*
the price for 4 pound of ribs is $28.00
*QUESTIONS* *what is the unit rate?* *how much would 6pounds cost?*
*how many pounds can be bought for $70* NEED HELP ASAP‼️‼️

Answers

Answer:

six pounds of ribs will cost you $42

Step-by-step explanation:

and 10 lb will cost $70 so that's how much pounds will get you to $70 worth of ribs

Appropriate and interesting word sum for :439 and 514 solve it

Answers

The word sum for 439 and 514 = 953

Word sum of whole numbers

Word sum simply means the addition of two or more whole numbers.

This means that to calculate the word sum of 439 and 514, the both given figures are added up together.

Given, 439 plus 514

That is,

439 + 514 = 953

Therefore, the word sum for 439 and 514 = 953

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for any positive integer , the notation denotes the product of the integers through . what is the largest integer for which is a factor of the sum ?

Answers

The symbol M! for any positive integer M represents the result of adding the integers 1 through M. The largest integer n for which 5ⁿ is a factor of the sum 98! + 99! + 100 is 26.

A factorial multiplies a number (n) by each number that comes before it. It is represented by the symbol "!".

If the sum is 98! + 99! + 100, then

\(\begin{aligned}98! + 99! + 100&=(1+99+9900)\cdot 98!\\&=10000\cdot98! \end{aligned}\)

The formula yields the highest exponent m, such that 5m divides 98! is,

\(\begin{aligned}m&=\Bigl\lfloor\frac{98}{5}\Bigr\rfloor+\Bigl\lfloor\frac{98}{5^2}\Bigr\rfloor+\Bigl\lfloor\frac{98}{5^3}\Bigr\rfloor+\cdots\end{aligned}\)

However, only the first two terms exceed zero, thus we get,

\(\begin{aligned}m&=\Bigl\lfloor\frac{98}{5}\Bigr\rfloor+\Bigl\lfloor\frac{98}{5^2}\Bigr\rfloor\\&=19+3\\&=22\end{aligned}\)

Also, 10,000 now has four factors of five. Then,

\(n&= 22+4\\n&=26\)

The required answer is n = 26.

The complete question is -

For any positive integer M, the notation M! Denotes the product of the integers 1 through M. What is the largest integer n for which 5ⁿ is a factor of the sum 98! + 99! + 100?

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Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is:__________

Answers

Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.

What is procedural memory?Procedure memory exists a kind of implicit memory (unconscious, long-term memory) that helps people carry out particular tasks without thinking about their previous experiences.

It frequently resides below the consciousness level and controls the actions we take.

The automatic retrieval and use of procedural memories, which are relied upon when appropriate, is necessary for the execution of integrated motor and cognitive functions, such as tying shoes, reading, and flying an airplane.

Procedural memories are recovered and used without any conscious control or attention being needed.

Procedural learning, or repeatedly completing a challenging activity until all required brain networks are able to coordinate to complete the job automatically, is how procedural memory is established.

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Mrs. Khan purchased 6 sets of dress material costing Rs.1235 each and 5 shirts of Rs.1635 each. How much does she spend for dress materials?

Answers

Answer:

Rs. 6175

Step-by-step explanation:

Number of dress materials purchased = 6

Cost of each dress material = Rs.1235

Number of shirts purchased = 5

Cost of each shirt = Rs.1635

How much does she spend for dress materials?

Total cost of dress material = Number of dress materials purchased × Cost of each dress material

= 5 × Rs.1235

= Rs. 6175

Total cost of dress material = Rs. 6175

the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?

the table describes some of the solutions of the inequality 3m>21. Which graph best describes the

Answers

Answer:

Option 3

Step-by-step explanation:

Given inequality is,

\(3m\geq 21\)

To find the solutions of the given inequality solve this inequality first.

\(\frac{3m}{3}\geq \frac{21}{3}\)

\(m\geq 7\)

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767

Answers

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Where v is the final velocity (in( m)/(s)), u is the initial velocity (in( m)/(s)), a is the acceleration (in( m)/(s^(2))) and t is the time (in seconds). Find v when a is 4( m)/(s^(2)), u is 3( m)/(s), and t is 72 seconds

Answers

The final velocity (v) can be determined using the equation v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.

Using the formula v = u + at, we substitute the given values to calculate the final velocity (v). In this case, the initial velocity (u) is 3 m/s, the acceleration (a) is 4 m/s^2, and the time (t) is 72 seconds. Plugging these values into the equation, we have:

v = 3 m/s + (4 m/s^2)(72 s)

Simplifying the equation:

v = 3 m/s + 288 m/s

v = 291 m/s

Therefore, the final velocity (v) when the acceleration is 4 m/s^2, initial velocity is 3 m/s, and time is 72 seconds is 291 m/s.

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Write an equation of the line perpendicular to the given line that contains P.

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

The diameter of a circle is 28 feet. What is the area of the circle, in square feet?

Answers

615.75 square feet! hope i helped!

The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?

Answers

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

Answers

The rule that was  used to translate the image Triangle EFG to E'F'G' is

T2,-4(x,y)

Given :

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1).The coordinates of the image after being translated are E’(–1, 0), F’(–3, –5), and G’(3, –3)

To find out the rule, we need to check the coordinates E  and E'

E is (-3,4)  and E' is (-1,0)

-3 + x = -1

x = -1 +3

   = 2

4 + y = 0

y = 4

So, we can say that 2 is added with x  and 4 is subtracted from y  to get E'

Let's check with F and F'

F(–5, –1)  and F’(–3, –5)

-5+2=-3

-1-4=-5

So the rule used to translate the image is T2,-4(x,y)

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C are represented as triangle ABC.

In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). This means that there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high-dimensional Euclidean space.

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Shade one more square to make a pattern with 1 line of symmetry

Shade one more square to make a pattern with 1 line of symmetry

Answers

Answer:

Shade to form a U shape

Step-by-step explanation:

U shape has only 1 line of symmetry

how many ternary strings (digits 0, 1, or 2) are there with exactly 5 0s, 5 1s and 5 2s?

Answers

A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.

Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.

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I think i know how to do this but i keep getting them wrong lol help

I think i know how to do this but i keep getting them wrong lol help

Answers

Answer:

no worry I'll help u out

Step-by-step explanation:

90+55=145

180-145=35

z=35°

also may I ask for u to mark brainlist?asking

Which whole number is located closest to 22 −−−√
????
A. 4
B. 22
C. 5
D. 25

Answers

The whole number closest to √22 is 5.

The square root of 22 is:

= √22

= 4.69

The whole number that it is closest to will depend on the first decimal point.

If it is 5 or above then it will be closest to 5.

If it is 4 and below, then it is closest to 4.

The first decimal point is 6 so √22 is closer to 5.

In conclusion, the square root of 22 is closer to 5.

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For each equation choose a value for x and then solve
to find the corresponding y value that makes that
equation true. Do not pickx = 0.
1) 6x= 7 and
two) 5 x + 3 and = 9
3) Y + 5 - 13x = 7

Answers

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

2. Find the number of ways eight people can be seated in an eight-passenger van.


Hii can someone help with this please and thank you

Answers

Answer:

There are 8! (8 factorial) ways for 8 people to be seated in an 8-passenger van. This is because there are 8 choices for the first person to sit, 7 choices for the second person, 6 choices for the third person, and so on, until there is only 1 choice for the last person. Therefore, the total number of ways for the 8 people to be seated is 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8!, which is equal to 40,320.

Math Problem, Please Help! please please please

Math Problem, Please Help! please please please

Answers

Answer: The width is 8 inches

Step-by-step explanation:

Trust me lol also 8 gose into both 96 and 12

Subject:Mathematics ​

Subject:Mathematics

Answers

assuming the maximum is the most common occurred, the answer is 32

assuming the minimum is the smallest number, it is 8

The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function y = 14t2. A second train that is 1,400 feet ahead of the first train is traveling at a constant speed of 96 feet per second and can be modeled by the function y = 96t + 1400. Solve the system of equations. Which solution represents a viable time that the trains are side by side?

Answers

Taking into account the definition of a system of linear equations, the solution t=14 represents a viable time that the trains are side by side.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

Calculation of time in this case

The system of equations to be solved is

\(\left \{ {{y=14t^{2} } \atop {y=96t+1400}} \right.\)

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the first equation in the second you get:

14t²= 96t +1400

Solving:

14t²- 96t -1400=  0

Being this a quadratic function of the form ax² + by +c, then it can be solved by: \(x1,x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}\)

In this case, being a=14, b=-96 and c=-1400, the equation is solved by:

\(t1=\frac{-(-96)+\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}\)

\(t1=\frac{96+\sqrt{9216 +78400} }{28}\)

\(t1=\frac{96+\sqrt{87616} }{28}\)

\(t1=\frac{96+296}{28}\)

\(t1=\frac{392}{28}\)

t1=14

and

\(t2=\frac{-(-96)-\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}\)

\(t2=\frac{96-\sqrt{9216 +78400} }{28}\)

\(t2=\frac{96-\sqrt{87616} }{28}\)

\(t2=\frac{96-296}{28}\)

\(t2=\frac{-200}{28}\)

t2= -7.14

Since time cannot be a negative value, the solution t=14 represents a viable time that the trains are side by side.

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The graph represents a relation where x represents the independent variable and y represents the dependent variable.

A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.

What is the domain of the relation?

{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}

Sorry it would not allow to place image

Answers

In the first case, the domain is {-2, 0, 2, 4}. And, the range is {-3,-1,0}.

In the second case, the domain is {-3, -1, 0, 3}. And, the range is {-1, 0, 1, 2, 3}.

What is range & domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

Element x contains negative 2, 0, 2, and 4.

Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0.

we know,

The domain refers to all the x-values in the relation.

The range refers to all the y-values in the relation.

so, we get,

In the first case, the domain is {-2, 0, 2, 4}. And, the range is {-3,-1,0}.

In the second case, the domain is {-3, -1, 0, 3}. And, the range is {-1, 0, 1, 2, 3}.

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answer:

it should be b, {−4, −2, 0, 3, 5}

how many 8-place license plates with 5 letters and 3 digits are possible if the only restriction is that all letters and numbers are unique? what if the 3 digits must be consecutive in the string?

Answers

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

How did we get these values?

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

You move left 6 units and right 3 units you end at 0.5 where did you start

Answers

The point where you started from on a number line is: 3.5

How to interpret Number line?

A number line is a line on which numbers are marked at intervals, and then used to illustrate simple numerical operations.

A number line is also referred to as a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

If the point where you started is denoted as x, then it means that:

x - 6 + 3 = 0.5

x = 0.5 + 3

x = 3.5

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Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter

Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
Fifth hexagon solved____________________________________-
Last hexagon S (flower)

Answers

A mathematical description of hexagon is given above.

What is a polygon?

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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the taylor series for a function f about x=1 is given by

Answers

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.



1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

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Task 9: Cookie Jar Problem There was a jar of cookies on the table. Latoya was hungry because she hadn't had breakfast, so she took half of the cookies. Then Mark came along and noticed the cookies. He thought they looked good, so he ate a third of what was left in the jar. Kandi came by and decided to take a fourth of the remaining cookies with her to her next class. Then Shannon came dashing up and took a cookie to munch on. When Michelle looked at the cookie jar, she saw that there were two cookies left. "How many cookies were there in the jar, to begin with?" she asked Kira.
Extension: If there were 2/3 of a cookie left over, how many cookies were there before Latoya came?
Can you please explain the work too, please!

Answers

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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If s varies inversely as
t^2, and s = 10 when t=2, find s when t is 10.​

Answers

We apply our knowledge in variation.

The solution can be seen in the photo

If s varies inversely ast^2, and s = 10 when t=2, find s when t is 10.
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Shade the area that represents the probability. = 50, = 6, P( > 55) Describe and explain how to use ultrasound to determine the size and position of the bubble inside the metal block Reducing agent such as active metals and some metal hyrides- Are not corrosive since they are reducing, not oxidizing, agents- Are unreactive except in the present of moderately strong oxidizing agents Incorrect- Often produce hydroxide and flammable H2- Generally do not react with water Calculate the weighted-average cost of capital (WACC) for a firm if its shares have a beta of 1.50, Treasury bills yield 3%p.a., and the market portfolio offers an expected return of 11.0%p.a. In addition, the firms debt-to-equity ratio is 66.67%, the debt has a yield to maturity of 6.0% and the firm pays tax at 28%. Zwick Company bought 25,000 shares of the voting common stock of Handy Corporation in January 2021. In December, Handy announced $200,200 net income for 2021 and declared and paid a cash dividend of $3.00 per share on all 201,000 shares of its outstanding common stock. Zwick Company's dividend revenue from Handy Corporation in December 2021 would be: the points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle? Which two of the following are ordinarily true concerning prepayment of CMOs?a. If interest rate falls prepayment increases.b. If interest rate rise prepayment increases.c. If interest rate falls prepayments decreases.d. If interest rate rise prepayment decreases What do folded mountains indicate happened in an area?(A) Tectonic plates have been sliding past each other(B) Tectonic plates have stopped moving and remained still.(C) Tectonic plates have been travelling away from each other.(D) Tectonic plates have collided and pushed against each other. 5 7/8 divide by 3 1/6= You are making a blanket with a fringe border of equal width on eachside. (Section 7.1 and Section 7.2) most corporations pay quarterly dividends on their common stock rather than annual dividends. barring any unusual circumstances during the year, the board raises, lowers, or maintains the current dividend once a year and then pays this dividend out in equal quarterly installments to its shareholders. suppose a company currently pays an annual dividend of $2.20 on its common stock in a single annual installment, and management plans on raising this dividend by 6.5 percent per year, indefinitely. if the required return on this stock is 8 percent, what is the current share price? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. now suppose the company in part (a) actually pays its annual dividend in equal quarterly installments; thus, the company has just paid a dividend of $.55 per share, as it has for the previous three quarters. what is your value for the current share price now? (hint: find the equivalent annual end-of-year dividend for each year.) note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Please answer. Question below! Can someone please help me with these questions 4.) A sample of 25 patients in a doctor's office showed that they had to wait an average of 35 minutes with a standard deviation of 10 minutes before they could see the doctor. Provide a 95% confidence interval estimate for the average waiting time of all the patients who visit this doctor. What is the margin of error?5. The movie Chapter 1 Review Assignment - 10 Points Scenario: A state legislature enacted a statute that required any motorcycle operator or passenger on the state's highways to wear a protective helmet. Jim Alderman, a licensed motorcycle operator, sued the state to block enforcement of the law. Alderman asserted that the statute violated the Equal Protection Clause because it placed requirements on motorcyclists that were not imposed on other motorists. Please answer the following questions: 1. Why does this statute raise equal protection issues instead of substantive due process concerns? Explain. (2 points) 2. What are the three (3) levels of scrutiny that the courts use in determining whether a law violates the Equal Protection Clause? ( 2 points) 3. Which standard, or test, would apply to this situation? Why? Explain. (2 points) 4. Applying this standard, or test, is the helmet statute constitutional? (2 points)