The Formula for the volume, V , of a pyramid is V = 1/3Bh , where B is the area of the base of the pyramid and h is the pyramid's height. The base of the pyramid shown has a length of 9m and a width of 8m. The height of the pyramid is 12m.
What Is The Volume Of The Pyramid?
A. 136 m^3 B. 256 m^3
C. 288 m^3 D 324 m^3

Answers

Answer 1

288 m³ is The Volume Of The Pyramid.

What is volume?

The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given, The base of the pyramid shown has a length of 9m and a width of 8m. The height of the pyramid is 12m.

Since, The Formula for the volume, V , of a pyramid is V = 1/3Bh ,

where B is the area of the base of the pyramid and h is the pyramid's height.

Since, Area of rectangle = Width *height

Thus, Area of the base = 9 * 8

Area of the base = 72 m²

So, the volume of pyramid (V) =  1/3Bh

the volume of pyramid (V) = 1/3 * 72 * 12

the volume of pyramid (V) =  288 m³

therefore, The Volume Of The Pyramid is 288 m³.

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Related Questions

Solve and reduce to lowest terms: 5 x 2/7

Answers

The multiplication of the numbers given to the reduced form is 10/7.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

The given expression is 5 × 2/7

One of the number is a whole number and the other is a fraction.

We can write 5 as 5/1 in terms of fraction and then multiply the numerators and the denominator.

(5/1) × (2/7) = (5×2) / (1 × 7) = 10/7, which is in the lowest form.

Hence the solution of the multiplication is 10/7.

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what is the relationship between the singular values of a and the eigen- values of aat ? what about at a?

Answers

The eigenvectors of AAH are called the left-singular vectors of A and the eigenvectors of AHA are the right-singular vectors of A . They are called this way because of their use in singular value decomposition. Say A=UΣVH , then the columns of U are the left-singular vectors and the columns of V are right-singular vectors.

We know that the non-zero eigenvalues of AAH  and AHA are the same, they are the squares of the singular values of A . A singular of value of A is a value σ such that Av=σu   AHu=σv where u is a left-singular vector and vs a right-singular vector. This can be taken as the definition of singular value, left-singular vector (which is an eigenvector of AAH) and right-singular vector (which is an eigenvector of AHA).the left-singular and right-singular vector pair works with AAH and AHA

AAHu=σAv=σ2u

AHAv=σAHu=σ2v

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Q: What is the relationship between the eigenvectors of AAT and ATA?

inequality notation of 3 − 5x > −2

Answers

Answer:x<1

Step-by-step explanation:

move constant -5x>-2-3

Add alike numbers (-2 and -3)

-5x>-5

Divide both sides by -5

Then flip the inequality sign

x<1

Answer:

Step-by-step explanation:

Add 3 to the -2

-5x > 1

Divide by -5 the sign switches because of the negative

x < - 1/5 or X < -0.2

Which expression is equivalent to 1/4(3x+4y) + 3(1/4x+ 2/3y)

Answers

The expression is equivalent is 6x/4 + 24y/12

What are algebraic expressions?

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

AdditionParenthesesDivisionSubtractionMultiplicationFloor division, etc

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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parallel to the line y =-3x + 5; passes through (-4,5)

Answers

Answer:

Step-by-step explanation:

ham 3.45x

Marshawn ran with the football for a 24 yard gain.

Given that 1 yard = 3 feet, enter the distance Marshawn ran in feet.

Answers

Marshall have run for 24 years ago that means 1 yard equals 3feethour

help pls, i have one topic left in aleks

Answers

If the force is changed to 50N, the acceleration of the object becomes 10m/s²

How to determine the value

From the information given, we have that force is directly varies as the acceleration.

Given that;

F represents forcea represents the acceleration

This is represented as;

F ∝ a

Then, the constant is

F= ka

Now, make 'k' the subject of the formula, we get;

k = F/a

substitute the values to determine the value of k

k = 40/8 = 5

If the value of the force, F of the object changes to 50N, then the acceleration is given as;

a = F/k

Substitute the values into the formula

a = 50/5

Divide the values

a = 10m/s²

Hence, the value is a = 10m/s²

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Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15 how do I find the square factor?

Answers

Using the similarity rectangle theorem, the value of FG is approx 23.

We determine the value of FG using the using the similar rectangle theorem.

Two rectangles must have proportional sides in order for them to be identical (form equal ratios). The two shorter sides should be proportionately equal to the two longer sides.

The rectangle ABCD and FGEH are both have same shape.

As we know that the rectangle same two sides equal. So

FG/EF = AD/DC

FG/15 = 18/12

Multiply by 15 on both side, we get

FG = 18/12 * 15

FG = 3/2 * 15

FG = 22.5

FG = 23 (approx)

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The complete question is:

Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15. How do I find the square factor FG?

What is the probability that Andre, Olivia, and Zach all win gift cards that are at least $25?

Answers

The probability that Andre, Olivia, and Zach all win gift cards that are at least $25 is 0.

Since the value of the gift cards is determined by chance, it is impossible to calculate the probability of this exact outcome. Instead, we can calculate the probability of any one person winning a gift card that is at least $25, which is 0.5.

The probability of them all winning would be the product of the individual probabilities, which is 0.5 x 0.5 x 0.5 = 0.125. However, since this is impossible, the probability of this exact outcome is 0.

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If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played?

Write a system of equations to represent this situation.


Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").


Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"




How many 6 player games?


How many 2 player games?



13 points

Answers

The total 7 two-player games and 6 six-player games were played.  

Here the total games = 13

And the total number of athletes participated = 50

Let us assume that x represents the total 2-player games played and y represents the total 6-player games played.

The neighborhood holds 13 total games.

So, we get an equation,

x + y = 13                    ................(1)

There are 50 athletes signed up for a neighborhood basketball competition.

So, we get an equation,

2x + 6y = 50                 .............(2)

From equation (1)

x = 13 - y                   ..........(3)

substitute above value of x in equation (2)

2(13 - y) + 6y = 50

26 - 2y + 6y = 50

4y = 24

y = 6

Substitute above value of y in equation (3)

x = 13 - 6

x = 7      

Thus, we can conclude that the total 7 two-player games and 6 six-player games were played.  

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Here is a number pyramid puzzle.
Each number is the product of the two numbers directly below it.
Complete the pyramid.

Answers

Complete the pyramid with the corresponding values

How to complete the pyramid?

Since each number is the product of the two numbers directly below it. Then the pyramid can be completed as follows:

Check the attached image for labeling.

j = -1 × -1 = 1

h = -2 × j = -2 × 1 = -2

y = h × -1 = -2 × -1 = 2

j × n = -1

1 × n = -1

n = -1

n × m = 2

-1 × m = 2

m = -2

w = -1 × 2 = -2

t = y × w = 2 × -2 = -4

-1 × k = n

-1 × k = -1

k = 1

k × l = m

1 × l = -2

l = -2

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equation=
ordered pair=(3,-4)
Slope(m)=
y-intercept=2

Answers

The equation of the line, given the ordered pair and the y - intercept, is y = -2 x + 2

The slope ( m ) is - 2

How to find the equation ?

The equation for a linear model takes the form :

y = mx + b

m =  slope

b = y - intercept

As we have the ordered pair, and the y - intercept, we can find the slope:

y = mx + b

- 4 = 3 x slope + 2

3 x slope = - 4 - 2

Slope = - 6 / 3

Slope = - 2

The equation is therefore:

y = -2 x + 2

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what is the measure of the acute angle formed by the hands of a clock at $4:20$ a.m.? express your answer as number of degrees.

Answers

The acute angle formed by the hands of a clock at 4:20a.m is 10°.

For the minute hand, we can compute that, for its every move, it covers 6 degrees. And for the hour hand, each move covers 30 degrees.

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

The angle between the hour's hand and the minute hand when the clock shows 4:20 pm can be calculated by using the formula:

Angle=|11/2 M-30H|

where M= minute H= hour's

Here M=20 H=4

Therefore we get the angle |11/2(20)- 30*4|=|110-120|=|-10°|=10°

Hence, 10° is the correct answer.

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it's election day for a student organization. if a president and vice-president are elected, how many different combinations can be made among six people?

Answers

30 different combinations can be made among six people.

The total number of arrangements is called Permutations.

According to the question,

There are 6 members to choose from.

And there are 2 posts to be filled. i.e, President, Vice-President.

Let's assume each position is a blank. Here each blank represents a placeholder.

The first position can be filled in 6 ways (because any one of the students can get that position)

The second position can be filled in 5 ways (as one person already got the first position, he can't get the second position).

The total number of ways all three positions can be filled in

= 6 * 5 = 30

So, the total number of ways in the combination = 30.

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Write an equation in point slope form for the line that passes through (-4, 3) and whose slope is 3.

Answers

An equation in point slope form for the line that passes through (-4, 3) and whose slope is 3 is equal to y - 3 = 3(x + 4).

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represents the data points.m represents the slope.

Next, we would determine the linear equation representing the line which passes through the points (-4, 3) and has a slope of 3 by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = 3(x - (-4))

y - 3 = 3(x + 4)

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A jet takes off at a 15 degree angle of elevation. The jet’s air speed is 300 ft/sec.




What is the horizontal distance that the jet has traveled in 10 seconds? What is the jet’s altitude at this time?

Answers

The horizontal distance that the jet has traveled in 10 seconds will be 3000feet and the jet’s altitude at this time is 6.44 minutes

Given: A plane flies off at a 15-degree angle and 350 feet per second.

Find The time needed to ascend to a height of 35,000 feet.

Imagine a right triangle with a 15-degree angle at the origin at Q1.

The plane's flight route is the hypotenuse.

speed = distance/time

speed * time = distance

distance = 300*10 = 3000feet

Sin(15) = opposite / hypotenuse

Sin(15) = 35000 / (350*t)

350*t  =  35000 / Sin(15)

t  =  35000 / (350 * Sin(15)

t  =  100 / Sin(15)

t   = 100 / .25882

t   =  386.37 seconds

t = (386.37 sec) * (1 min. / 60 sec)  = 6.44 minutes

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What is the value of x?

Answers

x = 1

Answer:

-----------

3x + 1 = 4x

4x = 3x + 1

4x - 3x = + 1

x = 1

The answer is x=1 or x=-1

Explain in words how the method for solving equations with fractional or decimal
coefficients and constants compare with the method for solving

Answers

The approach used to solve equations with integer coefficients & constants can also be used to solve equations with fractional / decimal coefficients and constants.

What is equation?

An equation is a mathematical statement that expresses the equality of two expressions. It is a relationship between two or more variables, such as x + y = z. Equations are used to solve a wide variety of problems in mathematics, physics, chemistry, engineering and other scientific fields.

The main difference is that when solving equations with fractional or decimal coefficients and constants. For example, if you have an equation with a decimal coefficient, divide both sides by the coefficient to make the coefficient 1 before you can use the same steps to solve the equation.

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Suppose the first class in a frequency table of quantitative data is 0-4 and the second class is 5-9. What is the class midpoint of the first class

Answers

The class midpoint of the first class in the case of table of quantitative data is 0-4 and the second class is 5-9 is 2.5

When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints.A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints. A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.

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A car is 150 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

Hi, my name is Za'Riah! I will gladly help you with your problem. (see explanation)

Step-by-step explanation:

There really isn't much to explain or step out with this problem.

60% of 150 is 90

150 + 90 = 240 inches

The truck is 240 inches long.

Answer:

240

The speed of light is 3 x 10 8squared m/s. if its frequency is 4.11 x 10 4squared Hz, what is its wavelengeth

Answers

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a wave with a frequency of 4.11×10⁴ Hz is 7299.27 m.

Wavelength

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

Frequency

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Propagation speed

The propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) using the following equation:

v = f×λ

Wavelengeth in this case

In this case, you know:

v= 3×10⁸ m/s

f= 4.11×10⁴ Hz

λ= ?

Replacing:

3×10⁸ m/s= 4.11×10⁴ Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 4.11×10⁴ Hz

λ=7299.27 m

In summary, the wavelength of the wave is 7299.27 m.

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Lauren and Shayla have ½ pound of Skittles. They want to share the Skittles between themselves and 2 friends.

How many pounds of Skittles will each of them receive?

Answers

Using division we know that each person will have 1/4 pound of Skittles.

What is division?

In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.

For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

The division sign, "," or occasionally "/," is used in computer code.

So, we know that:

Lauren and Shayla have 1/2 pound of Skittles

They will share it with 2 more people.

Then, each will have:

(1/2)/2

1/2 / 2

1/2 * 1/2

1/4

Therefore, using division we know that each person will have 1/4 pound of Skittles.


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The drama club holds a cast party at a local cafe.All 12 of the cafes tables are used to full capacity.Small tables seat 2 people and large tables seat 4 people.How many tables of each size are there?

Answers

With the help of algebraic expression, there were 8 small tables and 4 large tables in the local cafe.

What is algebraic expression?

Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are performed on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into patterns that represented numbers.

James drew a four in the air with four matchsticks. Natalie was able to make a pattern with two 4s by putting three more matchsticks on the board. They realised they could proceed to add three matchsticks each round until they had a total of four. This led them to the conclusion that, in general, 4+ 3(n-1) sticks are needed to make a pattern with n numbers of 4s. This sentence makes reference to the algebraic expression 4+ 3(n-1).

The total no. of tables are 32

Let x be the no. of Small tables = 2x

And y be the no. of Large tables = 4y

Total no. of tables = 12

2x + 4y = 32

And

x + y = 12

x = 12 - y

Putting the value of x in first equation

2(12 - y) + 4y = 32

24 - 2y + 4y = 32

4y - 2y = 32 - 24

2y = 8

y = 4

And Putting the value of y in 2nd equation

x = 12 - (4)

x = 8

Thus, With the help of algebraic expression, there were 8 small tables and 4 large tables in the local cafe.

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Is w = 6 a solution to the inequality below?
8 > W

Answers

W = 6 is a solution to the inequality.

Solutions of an inequality expression:

In mathematics, Inequality is an unequal comparison between two or more algebraic terms or expressions. The solution of an inequality is a numerical value that will satisfy the given expression.

The signs that we use in Inequality expression are  

'>' - greater than

'<' - less than

'≥' - greater than or equal to

'≤' - less than or equal to

Here we have

Inequality 8 > W

Where the symbol '>' less than indicates 8 is greater than W

or the value of W is less than 8  

As we can see that 6 < 8

Therefore,

W = 6 is a solution to the inequality.

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Whitch equation represents a cricle with the center t(5,-1) and q radius of 16 units

Answers

(x - h)^2 + (y - k)^2 = r^2 is the equation for a circle with center (h, k) and radius (r).

What exactly is a math equation?

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."

So, an equation that represents a circle with center (5, -1) and radius of 16 units is:

(x - 5)^2 + (y + 1)^2 = 16^2

or

(x - 5)^2 + (y + 1)^2 = 256

The graph of this equation will be a circle centered at the point (5,-1) with a radius of 16 units.

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exercise 4. exercise 2 on page 65 on the textbook. suppose the world population today is 7 billion, and suppose this population grows at a constant rate of 3% per year from now on. (a) what would be population equal 100 years from now? (b) compute the level of population for t

Answers

Answer: A: what would be population equal 100 years from now?

Step-by-step explanation: I hope this helps!

If you can't see it zoom in

Answers

The SAS congruency is applied here.

Hence,

[tex] \frac{TR}{JK} = \frac{RS}{JL} = \frac{TS}{KL} \\ \frac{24}{x} = \frac{12}{6} = \frac{y}{15} \\ \frac{24}{x} = 2 \\ x = 48 = JK[/tex]

[tex] \frac{y}{15} = 2 \\ y = 30[/tex]

Perimeter =

[tex]6 + 30 + 48 \\ 36 + 48 \\ = 84[/tex]

The potential energy, P, in a spring is represented using the formula P = A equals StartFraction one-half EndFraction b h.kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

Which equation should she use?

k = 2Px2
k = k equals StartFraction one-half EndFraction P x squared.Px2
k = k equals StartFraction 2 P Over x squared EndFraction.
k = k equals StartFraction P Over 2 x squared EndFraction.

Answers

She should use the equation k = P/x². The correct answer would be an option (D).

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The potential energy, P, in spring is represented using the formula, as follows:

P = kx²

Solve for variable k and we get the equation:

k = P/x²

When we compare this equation to the provided possibilities, we can easily see that it corresponds to the last option.

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order reads: klotrix 0.35 meq/lb po dissolved in 6 oz of orange juice at 8 am; available: klotrix 8 meq/ml. how many ml of klotrix will you add to the orange juice for a 20.5 kg patient? round your answer to the nearest tenth.

Answers

We will add 2 ml of klotrix to the orange juice for a 20.5kg patient.

We know that , 1 kg=2.20462 pounds

Therefore, 20.5kg=20.5x2.20462 pounds= 45.195 pounds or 45.195 lb

Additionally we have, 1 lb = 0.35 mEq

Therefore, 45.195 lb=  0.35 mEq × 45.195 = 15.818 mEq.

Also, 8mEq=1 mL

By using unitary method,

1 mEq=1/8 mL

Converting 15.818 mEq to mL, we get

15.818mEq = 15.818 ÷ 8 = 1.9 mL

Thus, 15.818mEq  = 1.9 mL

Rounding off the answer we get,

The amount of klotrix required to add to the orange juice for a 20.5 kg patient is 2mL

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What is the domain and range

Answers

Answer:

Domain and Range. 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.

The domain of a function is the set of values that we are allowed to plug into our function. While a functions range, is the set of values that the function can take.

To be more precise, he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

A relation's domain can also be discussed, where one element in the domain may be mapped to more than one element in the range.

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T/F Reason Hugo walksmile from his home to the library onMonday. He walks mile from his home to the park on Tuesday. How much farther does he walk on Monday than on Tuesday? Is your answer reasonable? Explain. Indonesiamarquis began his undergraduate degree as a psychology major and took five classes before deciding to switch to accounting. now he works as an accountant and always says that he is grateful for his initial study of psychology because it helped him to better understand people and behavior and general, but also because it helped him- better diagnose his clients with psychological conditions.- change his personality. - develop critical thinking skills he uses as an accountant. - control his temper when discussing things with clients. Histograms based on data on _________ ______ and ________ typically are skewed to the right. Part 1 A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 160 ft and (b) return to the ground when v0 is 32 feet per second. Question content area bottom Part 1 (a) Find the time(s) that the projectile will reach a height of 160 ft when v0=32 feet per second. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. tom and jerry have one day to work, but two tasks to focus on: building chairs and tables. if tom spends all day building chairs, he will make 16 chairs. if he instead devotes his day to building tables, tom will make 4 tables. if jerry spends his day building chairs, he will make 14 chairs; if he spends the day building tables, he will make 7 tables. based on their production possibilities frontiers, tom and jerry: To assimilate Indians into American society, the Dawes Act did all of the following except...answer choicesdissolve many tribes as legal entities.try to make rugged individualists of the Indians.wipe out tribal ownership of land.promise Indians U.S. citizenship in twenty-five years.expand recognized tribes' collective land ownership holdings. 15) what types of structures and what principles are similar in photosynthesis and cellular respiration? Write an essay on the use or the importance of the animals names in Hamlet. Are there any controversies surrounding the FBI? If name and lease tell me about it. Given the information below, match the step with the reason it can be stated. Is the federal reserve making nickels with a constant of proportionality? If so what is it? A horse's body temperature T is considered to be normal if it is within at least 0. 9o F of 99. 9o F. Write the normal range of body temperature of a horse as an inequality Select the equivalent expression. \left(3^2\cdot 5\right)^{3}=?(3 2 5) 3 =? a person is about 6 orders of magnitude larger than a cell. the cell is about 3 orders of magnitude larger than a molecule. by how many orders of magnitude is a person larger than a molecule? an insurance company conducted an opinion poll for a new health policy. in a sample of 200 participants, 117 of them supported this policy. does this provide strong evidence that more than a half of americans are supporting the new health policy? find the -value of the test (round off to third decimal place). Therese is a 45-year-old lawyer and masters swimmer. Swim practices are held at 11:30 AM or 6:00 PM at a pool near her office. Therese is frustrated because she gets very hungry during the day, and therefore, has a difficult time swimming strongly throughout either a noon or evening practice. She often leaves practice early because she becomes extremely hungry and sometimes lightheaded. She eats a bagel with fat-free cream cheese and a banana for breakfast, and a turkey sandwich with fat-free yogurt and baby carrots for lunch, every day. Why is Therese so hungry throughout the day? What dietary changes would you recommend to Therese, based on the brief food re- call provided? Please include specific meal planning ideas in your answer