which pair of numbers does not have a least common multiple less than 100

Answers

Answer 1
Find the least common multiple of 100. The common multiples are 3 and 4.

Related Questions

Can someone help me thank you

Answers

EASY just say THANK YOU!!!

Answer:

1. 3 ones

2. 3

3. 3 tens

4. 3

5. 3 hundreds

6. 3

7. 3 halves

8. 3 (not 3/2)

9. 3 fourths

10. 3

11. 3

12. 2

13. 1/2

14. 3

15. 5/2

16. 3/4

17. 3

18. 3/2

19. 3/4

20. 7/2

21. 2/3

22. 4/11

NOTE: Read the step-by-step explanation on how we arrive on these final answers. Don't just copy-paste it and try to understand the concept so that next time you already know how to solve this type of expressions.

Step-by-step explanation:

This is a simple mathematic problem which requires basic strategies to be solved. People should already know on how to calculate these simple mathematic tasks. Most especially to the first 7 items, we will just use division to get the final answer (numerator/denominator).

[tex]\frac{9}{3}[/tex] = 3 or

9 ÷ 3 = 3

Similar, with the rest of items that includes fractions. We will just reciprocate the denominator and multiply it to the numerator to get the final answer.

Example was the item 8:

= [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{2}[/tex]

= [tex]\frac{9}{2}[/tex] x [tex]\frac{2}{3}[/tex]

= [tex]\frac{18}{6}[/tex]

= 3

Rewrite this number in appropriate scientific notation:
459,000

Answers

Answer:

4.59 × 10^(5)

Step-by-step explanation:

Answer: 4.59 x 10^5

Step-by-step explanation:

If we move the decimal place over 5 times in the answer we get 459,000.

I hope this was able to help you :D

What is the 10th term of the geometric sequence where a1 = 384 and a7 = 6?

Group of answer choices

6

3

0.75

1.5

Answers

Answer:

A resposta correta é 6. Esta sequência geométrica,  tem uma razão comum de r = 1/2.  O 10º prazo o da sequência pode ser encontrado usando a fórmula an = a1 * r-n1, em de n é o número do prazo. Assim, o 10º prazo é: ano = 384 * (1/2)9 = 384 * (1/512) = 6

given that 15^5x=8 solve for x

Answers

Answer:

Step-by-step explanation:

The value of x for the given expression will be x = 0.1535.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]15^{5x}=8[/tex]. The expression will be solved as below,

[tex]15^{5x}=8[/tex]

Take log on both the sides and solve for the value of x.

5x = 3log₁₅(2)

x = (3/2)log₁₅(2)

x = 0.1535

Hence, the value of x will be 0.1535.

To know more about an expression follow

https://brainly.com/question/20473168

#SPJ2

ANYONE GOOD IN MATH PLEASE HELP!​

Answers

Answer: 15

Step-by-step explanation:

The range is the set of all Y values, in this question -8 is the minimum and +7 is the maximum, therefore the range is (-8-7) = -15, but range is not negative so we get 15

The answer is 15 that’s the answer

What is a perimeter of a rectangluar drive way measuring 20 feet long and 15 feet wide?

Answers

20+20=40
15+15=30
40+30=70

70feet is the perimeter
Given that the driveway is a rectangle.
Given that the driveway length is 20ft and width is 15ft.
Asked to find perimeter.

Well this is simple, all you need to do is to add all the sides together. A rectangle has 4 sides, two parallel sides. We are given only 2 sides because that’s all we need. We can either add the given numbers twice or multiply. I’ll show you both.
Here’s the addition:
Perimeter=20ft+15ft+20ft+15ft
Perimeter=70ft

Here’s the multiplication+addition:
Perimeter=20ft(2)+15ft(2)
Perimeter=40ft+30ft
Perimeter=70ft

And another:
Perimeter=(20ft+15ft)(2)
Perimeter=(35ft)(2)
Perimeter=70ft

These are the three ways to solve this problem. Hope this helped!

Exercise 5 The table shows the number of registered electric cars in Norway in the period 2016-2021.

Number of
year electric cars
2016 - 97,532
2017 - 138,983
2018 - 195,351
2019 - 260,692
2020 - 337,201
2021 - 455,277

Task A: Create an exponential model for the development in the number of electric cars for the years 2016-2021.

Task B: Use the model from task a to estimate the number of electric cars in 2025.​

Answers

An exponential model has the formula A is A0(b)t/c, so, we get 1071371.

How Do You Create a Model of Exponential Growth?The formula for exponential growthOne plus the growth rate r is added. Find the growth rate, replace it with the appropriate value in the formula, and then add one.Raise the product of one and r to the power of x. Identify the period of time during which population increase takes place.multiply by the starting point.Analyze the outcomes.An exponential model has the formula A = A0(b)t/c, where A0 is the starting quantity of the thing being modeled.t is the amount of time that has passed.A is equal to the sum at time t.B is the growth factor, and c is the amount of time it takes for it to manifest.

A = A0(b)t/c,

97532 ( 455277)1/ 41446 = 1071371.

To learn more about exponential model refer to:

https://brainly.com/question/26580475

#SPJ1

If Y is a random variable with moment-generating function m(t) and U is given by U = aY + b, a) Show that the moment-generating function of U is e tbm(at). b) If Y has mean µ and variance σ 2 , use the moment-generating function of U to derive the mean and variance of U. c) Suppose that the moment-generating function of a normally distributed random variable, Y , with mean µ and variance σ 2 is m(t) = e µt+(1/2)t 2σ 2 . Derive the moment-generating function of X = −3Y + 4. What is the distribution of X? Why?

Answers

a) E(e^(taY)) = m(at), then the moment-generating function of U is e^(tb)m(at).

b) µ is the mean of Y and σ^2 is the variance of Y.

c) the moment-generating function of X =e^((−3µ + 4)t + (9/2)σ^2t^2) and The distribution of X is normal.

a) If Y is a random variable with moment-generating function m(t), and U is given by U = aY + b, then the moment-generating function of U is e^(tb)m(at). This can be shown by using the definition of a moment-generating function:

E(e^(tU)) = E(e^(taY + tb)) = E(e^(taY)e^(tb)) = e^(tb)E(e^(taY))

Since E(e^(taY)) = m(at), then the moment-generating function of U is e^(tb)m(at).

b) To find the mean and variance of U using the moment-generating function, we can take the first and second derivatives of e^(tb)m(at) and set t = 0. The first derivative with respect to t evaluated at t = 0 is:

(d/dt)e^(tb)m(at) = be^(tb)m(at) + ae^(tb)m'(at)

Setting t = 0, we get the mean of U:

E(U) = be^(0)m(a0) + ae^(0)m'(a0) = b + a*(m'(0)) = b + a*µ

Where µ is the mean of Y.

The second derivative of e^(tb)m(at) is:

(d^2/dt^2)e^(tb)m(at) = b^2e^(tb)m(at) + 2abe^(tb)m'(at) + a^2e^(tb)m''(at)

Setting t = 0, we get the variance of U:

Var(U) = b^2e^(0)m(a0) + 2abe^(0)m'(a0) + a^2e^(0)m''(a0) = b^2 + 2ab*(m'(0)) + a^2*(m''(0)) = b^2 + 2abµ + a^2σ^2

Where µ is the mean of Y and σ^2 is the variance of Y.

c) If the moment-generating function of a normally distributed random variable Y with mean µ and variance σ^2 is m(t) = e^(µt + (1/2)t^2σ^2), then the moment-generating function of X = −3Y + 4 is e^((−3µ + 4)t + (1/2)(−3)^2σ^2t^2) = e^((−3µ + 4)t + (9/2)σ^2t^2)

The distribution of X is normal with mean (-3µ + 4) and variance (9/2)σ^2. This can be deduced by the fact that if Y is normally distributed, then a linear transformation of Y (such as X = aY + b) is also normally distributed with mean aµ + b and variance a^2σ^2.

To learn more about function here:

https://brainly.com/question/12431044

#SPJ4

the school marching band has 328 members. Can the band members march in 8 lines, with an equal numberof band members in each line with no members left over? Explain

Answers

Answer:

Yes

Step-by-step explanation:

328/8 = 41

Thus if 41 members are in each line, there should be no members left without a spot and it should be equal all across

Please I can't seem to get this. It's really hard

Answers

The number of notepads per department used in the Southeast location is given as follows:

6.

How to obtain the number of notepads per department?

The number of notepads per department is obtained applying the proportions in the context of this problem, considering the graph.

The number of departments of the Southeast location is given as follows:

6.

Which is given from the table given in the second image for this problem.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The vector u is shown below. Find the component form of u. Round your final answers to the nearest hundredth. ū=( , ) IL 105°

Answers

According to the given vector, the component form of u is (−3.87, 1.048)

The term vector in math is known as a quantity or phenomenon that has two independent properties such as magnitude and direction

Here we have given that the value of the following are obtained through the given diagram.

θ = 165°

Then the value of |u| is calculated by using the formula,

=> ∣u∣ = 4θ

When we apply the value on it, then we get,

=> ∣​u​​​∣=4

Now, we have to calculate the value of

=> ∣​u​​​∣cos165° ​​​= −3.864

=> ∣​u​∣sin165° ​ ​= 1.035

Then the component form of the vertor u is written as,

=> ​u ​​= (∣​u​​​∣cos165°​​, ∣​u​​​∣sin165​°​​)

When we apply the values on it, then we get the resulting form as,

=> ​u ​= (−3.87, 1.048)

Complete question:

The vector u is shown below. Find the component form of u.

To know more about vector here.

https://brainly.com/question/29740341

#SPJ4

find the y intercepts of the graph shown. (5.6,0) (-3.3,0) (0.4) (-5,0)

Answers

A's x- intercept is 3 and y-intercept is 5. Both are favourable.

How can you determine a graph's y-intercept?shown. (5.6,0) (-3.3,0) (0.4) (-5,0) (-5,0)Finding the value of y at x=0 on a graph will reveal the y-intercept. At this location, the graph passes across the y-axis.The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b).I Plotting point A (5.6,0)(0.4) (-5,0) (-5,0)In this instance, A's x-coordinate is 3 and y-coordinate is 5. Both are favourable. As a result, the point A (0.4) is in quadrant I.ate is 3 and y-coordinate is 5. Both are favourable. As a result, the point A (-5,0) is in quadrant I. begin at the beginning. Along the x-axis, move three units to the right. Then, turn, travel parallel to the Y-axis by 5 units, and mark point A.

To learn more about y intercepts refer to:

https://brainly.com/question/25722412

#SPJ1

the triangle below js equilateral. find the length of side x in the simplest radical form with a rational denominator

Answers

The length of side x is given as follows:

[tex]x = \frac{11\sqrt{3}}{3}[/tex]

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

For this problem, we have that:

The angle is of 60º.The adjacent side is of x.The opposite side is of 11.

Applying the tangent, the length x is obtained as follows:

tan(60º) = 11/x

x = 11/tan(60)º

[tex]x = \frac{11}{\sqrt{3}}[/tex]

[tex]x = \frac{11\sqrt{3}}{3}[/tex]

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

can someone give me the answer asap

Answers

Answer:

Rise: 2

Run: 1

Slope: 2

At what point does the line intersect the y-axis? (0,-1)

Find the average of the following set of integers. −20,−54,−93,37,45

Answers

The average of given set of integers is -17.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

The given set of integers are -20, -54, -93, 37 and 45.

Here, average = Sum of all the observations/Number of observations

= (-20-54-93+37+45)/5

= -85/5

= -17

Therefore, the average of given set of integers is -17.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ1

the quartiles of a dataset are the three values that divide the data into four equal groups, each group representing 25% of the data. the first quartile (q1), also known as the lower quartile, is the value that separates the lowest 25% of the data from the rest of the data. the second quartile (q2), also known as the median, is the value that separates the lowest 50% of the data from the highest 50% of the data. the third quartile (q3), also known as the upper quartile, is the value that separates the lowest 75% of the data from the highest 25% of the data. together, the three quartiles can give a sense of the distribution of the data and the spread of the values

Answers

A dataset's quartiles are critical summary statistics that split the data into four equal groups. The first quartile (q1), often known as the lower quartile, splits the data into the bottom 25% and the remainder.

The second quartile (q2), commonly known as the median, splits the data into the lowest and highest 50%. The third quartile (q3), often known as the upper quartile, divides the data into the lowest 75% and the highest 25%. These quartiles give useful information regarding the data distribution and value spread.

The quartiles may also be used to find outliers in the dataset. Understanding the quartiles is an important element of data analysis and may assist inform data-driven decision making.

To learn more about Dataset quartiles:

https://brainly.com/question/28168026

#SPJ4

write a system of linear equations whose solution is (6,19)

Answers

Step-by-step explanation:

[tex] \alpha + \beta = \frac{ - b}{a} = 6 \\ \alpha \beta = \frac{c}{a} = 19 \\ p(x) = k( {x}^{2} - ( \alpha + \beta )x + ( \alpha \beta )) = 0\\ = k( {x}^{2} - 6x + 19) \\ polynomial \: = {x}^{2} - 6x + 19 = 0[/tex]

it takes so much tume to solve and type it here and its so hard so plzzz mark me as brainliest plz .

Mathematical 8. PRACTICE Model Math Christy purchased 6.75 pounds of licorice. How much licorice does she need to put in each bag if she divides the total amount into 10 equal-sized bags?​

Answers

Answer:i think it is yes! this )--89+98

Step-by-step explanation:

Convert 4/15 to a decimal and a percent.

Answers

The percentage and decimal values of the given fraction are 26.67% and 0.267 respectively.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given a fraction number 4/15

To convert it into decimals we need to divide 4 by 15

Thus, the Decimal value = 0.2666...

the Decimal value = 0.267

To convert it into a percentage we need to multiply it with 100

So,

The percentage values of the given fraction = 4/15 * 100

The percentage values of the given fraction = 26.67%

Therefore, the percentage and decimal values of the given fraction are 26.67% and 0.267 respectively.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ1

find the measurements of the angles

Answers

all the mentioned angles have been found.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angles of triangle = 180

∠ICA =180-20 =160

∠EAF = 20

∠ICB =180

∠GAF = 120 -20 =100

∠CAB= 180-80=100

∠HAG=180-120 =60

∠CBA=180-120=60

∠HAC.= 20

Hence all the mentioned angles have been found.

Learn more about triangle, by the following link

brainly.com/question/17335144

#SPJ1

Work with a partner. Baby manatees are about 4 feet long at birth. They
grow to a maximum length of 13 feet.
a. Which of the following can represent a baby manatee's growth?
What does x represent? Explain your reasoning.

x + 4 < 13
x + 4 ≤ 13
x-4> 13.
x-4 ≥ 13

Answers

An equation which can represent a baby manatee's growth include the following: B. x + 4 ≤ 13.

The variable x represent the baby manatee's growth after birth.

How to write and solve the required inequality?

In order to write and solve an inequality that represents a baby manatee's growth, we would take note of the following important information;

The maximum length is equal to 13 feet.Baby manatees are typically about 4 feet long at birth.Let the variable x represent the baby manatee's growth after birth.

Now, we can write an inequality that represents the value of x for which a baby manatee's growth as follows;

x + 4 ≤ 13

By subtracting 4 from both sides of the inequality, we have the following:

x + 4 - 4 ≤ 13 - 4

x ≤ 11

Read more on inequality here: brainly.com/question/19732652

#SPJ1

The distance between -19 and 12 is

Answers

Answer:

The distance between -19 and 12 is 31.

Step-by-step explanation:

Estimate the distance in feet that your car travels on the entrance ramp to a freeway as it accelerates from 30 mph to the freeway speed of 70 mph. During this motion what is the average acceleration of the car?

Answers

The Average Acceleration of the car will be 14.67 ft/[tex]s^{2}[/tex].

What is Acceleration?

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.

Formula: a = (v(final) - v(initial))/t

In the given formula, it is given that:

v(initial) = 30mph = 44 ft/s

v(final) = 70mph = 102.67 ft/s

t(time) = 4s

Putting these values in our formula, we get:

a(acceleration) = (102.67 - 44)/4

a = 14.67 ft/[tex]s^{2}[/tex].

Therefore as per the given problem, the acceleration of the given car is 14.67 ft/[tex]s^{2}[/tex].

To learn more about Acceleration, visit: https://brainly.com/question/12550364

#SPJ4

To go on a summer trip, Charlie borrows $700. He makes no payments until the end of 4 years, when he pays off the entire loan. The lender charges simple
interest at an annual rate of 4%.
Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Charlie have to pay?
(b) What will the total repayment amount be (including interest)?
$0
X
Ś

Answers

a) The total interest that Charlie, who borrows $700 at a simple interest rate of 4% per annum, will pay after 4 years is $112.

b) The total repayment amount after 4 years, including interest, is $812.

What is simple interest?

The simple interest system is one that does not add interest to the principal before calculating subsequent years' interest.

The simple interest system is different from compound interest.

The simple interest formula is given as Principal x Time x Rate.

Principal loan = $700

Loan period = 4 years

Annual interest rate = 4%

Interest system = Simple Interest

Simple interest after 4 years = $112 ($700 x 4% x 4)

Amount to be repaid = Principal + Interest

= $812 ($700 + $112)

Learn more about the simple interest at https://brainly.com/question/25793394

#SPJ1

write the word sentence as an equation: 5 is one-forth of a number c

(don't solve. just write an equation)

Answers

The equation of the word sentence, "5 is one-fourth of a number c" is: 5 = 1/4c.

How to Write a Word Sentence as an Equation?

To write a word sentence as an equation, you need to identify the variables and the operations being described in the sentence, and then use mathematical symbols to represent them.

For example, we are given the sentence "5 is one-fourth of a number c,", in this case, the variable is "c" and the operation is "one-fourth of," which is represented by the fraction 1/4 or the multiplication by 1/4.

Therefore, the equation would be:

5 = 1/4c.

Learn more about word sentence as an equation on:

https://brainly.com/question/23384508

#SPJ1

Consider the following frequency table representing the scores on a test.
Scores on a TestClass Frequency
30–46
10
47–63
3
64–80
13
81–97
12
98–114
12

Step 3 of 5 :

Determine the class width of each class.

Answers

The class width of each class is 17.

What is the class width?

Class width is the distance between a class's upper and lower bounds (category). It may also refer to one of the following more precisely, depending on the author:

the difference between the upper and lower limits of two (nearby) consecutive classes, or the lowest and higher limits of two classes.

The width of each class in a frequency distribution table must be the same. Due to the fact that you are only working with a single width, this makes calculating the class width relatively simple (as opposed to varying ones).

To find the class width in this, we subtract the lower limits of two consecutive class. i.e.

47 - 30 = 17

64 - 47 = 17

81 - 64 = 17

98 - 81 = 17

So that, The class width of each class is 17.

To learn more about class width visit:

https://brainly.com/question/20462969

#SPJ1

Can any anyone explain X^3=-125 ?
This is solving polynomial equations.

Answers

The value of x in the equation,  X^3= -125 is -5.

How do we arrive at the solution for x?

To find x in the above polynomial equation, we need to collect like terms and equate the expression to 0. To begin we can arrange the expression this way:

x^3 + 125 = 0

This means that we should find the figure which when multiplied three times would equate to 125. This figure is -5. So, when solved, we have:

-5³ + 125 = 0

-125 +125 = 0

So, the value for x in the equation above is -5.

Learn more about polynomials here:

https://brainly.com/question/4142886

#SPJ1

2 x – 3 y = 7 –4 x + y = –5 What is the x -value of the solution to this system of equations?

Answers

The value of x which holds true for the given system of equations as required is; x = 4 / 5.

What is the value of x which holds true for the system of equations?

It follows from the task content that the value of x which holds true for the given system of equations be determined.

Since the given system is;

2x - 3y = 7........(i)

-4x + y = -5........(ii)

The value of x which holds true for the given system of equations can be determined by making y the subject of the formula in (ii) and substitution into (i) as follows;

y = 4x - 5.

Therefore;

2x - 3 (4x - 5) = 7

2x - 12x + 15 = 7

-10x = -8

x = 4/5

Ultimately, the value of x which holds true for the given system of equations is; x = 4 / 5.

Read more on system of equations;

https://brainly.com/question/25976025

#SPJ1

2 x – 3 y = 7 –4 x + y = –5 Wh

36% of the people did not vote for the candidate. 5400 people voted. How many did not vote for the candidate?

Answers

1944 people did not vote for the candidate

The scatterplot shows the relationship between the number of yards allowed by teams in the National Football League and the number of wins for that team in a recent season, along with the least-squares regression line. Computer output is also provided.


2 Calculate and interpret the residual for the Seattle Seahawks, who allowed 4668 yards and won 10 games.

Answers

If the residual is negative, it means the observed number of wins is lower than the predicted number of wins, indicating that the team performed worse than expected based on their yards allowed.

What is the interpret the residual for the Seattle sea hawks?The residual for a data point in a regression analysis represents the difference between the observed response (number of wins) and the predicted response (value on the regression line).To calculate the residual for the Seattle Sea hawks, we need to find the value of the regression line at the number of yards allowed (4668), then subtract the observed number of wins (10).Interpretation of the residual: if the residual is positive, it means the observed number of wins is greater than the predicted number of wins, indicating that the team performed better than expected based on their yards allowed. If the residual is negative, it means the observed number of wins is lower than the predicted number of wins, indicating that the team performed worse than expected based on their yards allowed.

To learn more about interprets refer:

brainly.com/question/1638242

#SPJ1

Other Questions
Drag each object to show whether cost is proportional to area in the situation represented. what answer do I pick please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee what advice can you give yourself or to others who are or have been biased/prejudice? physical science worksheet conservation of energy #1(use g = 10 m/sr for atl catculfiions) which word best describes the methods martin luther king, jr. planned to use to attain civil rights for black people? while schleiden and schwann convinced most of the scientific community that all living organisms are composed of one or more cells, and that the cell is the basic unit of structure and organization in organisms, they each came up with different ways of explaining how new cells formed. Martin Luther King earned his Ph.d. in systematic theology from what university? dirty headlights can reduce visibility up to 90% while all research should follow the scientific method, there are a variety of ways a study can be designed. these design features can influence the type of information that can be obtained and how this information may affect understanding of nutrition science. 1. Which of the following best describes the causes of World War I?OA. Germany controlled most the of economic trade in Europe and would not allowcountries like France and Great Britain to expand their economies.B. Intense national rivalries between powers exploded after the assassination of akey political figure.C. The European powers had openly fought with their militaries over control of anumber of overseas colonies, including China.D. The interests of the United States as a growing imperial power were threatened,so the U.S. signed a treaty of alliance with Great Britain. A plant is already 10.25 meters tall, and it will grow 5 centimeters every month. The plant's height, H (in meters), after x months is given by the followingfunction.H(x)=0.05x+10.25What is the plant's height after 30 months? 8. A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the basket? The probability of rolling a number greater than 1 on a six sided number cube is 5/6 choose the likelihood that best describes the of this event. A neither likely or unlikely B impossible C Unlikely D Likely Write an equivalent expression by distributing the sign outside the parentheses:- (-9c- 0.8d - 1) felt their grievances were notaddressed. As a result, their desire tobecome independent from Great Britainwas growing stronger.A. People in the American coloniesB. Many of the British citizensC. Many of the Red Coats Which of these pairs is an agency?1.Tax Preparer/Taxpayer (True,False)2.Teacher/Student (True,False)3.Retail Clerk/Customer (True,False)4.Attorney/Client (True,False)Using the above pairings, which is the Principal and which is the Agent?5.Tax Preparer/TaxpayerA.Tax Preparer is the agent and Taxpayer is the principalB.Tax Preparer is the principal and Taxpayer is the agentC. No agency6. Teacher/StudentA.Teacher is the agent and Student is the principalB.Teacher is the principal and Student is the agentC.No agency7.Retail Clerk/CustomerA.Retail Clerk is the agent and Customer is the principalB.Retail Clerk is the principal and Customer is the AgentC.No agency8.Attorney/ClientA.Attorney is the agent and Client is the principalb. Attorney is the principal and Client is the agentC.No agency if it takes 8 seconds for a ball to roll 24 meters downhill, what is the average speed of the ball? based on the following account balances as of and for the year ended 12/31/x4, compute company a's net income. assets $7, shareholder equity $7, revenues $4, liabilities $7, expenses $5, dividends $9. explain how the increased use of informal powers by the president have cuased greater conflict between the legistlative and executive branches of government Which of these sentence segments does not contain a capitalization error?dr. martin luther king received the nobel peace prize for his civil rights work in december 1964.Dr. Martin luther KingIn December 1964received the Nobel Peace Prizefor his Civil Rights work