What is the tangent ratio of angle within a right triangle?

What Is The Tangent Ratio Of Angle Within A Right Triangle?

Answers

Answer 1

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The purpose of the mnemonic SOH CAH TOA is to help you remember that ...

   Tan = Opposite/Adjacent

What Is The Tangent Ratio Of Angle Within A Right Triangle?

Related Questions

The sum of heart rate readings taken five times for of Kundaval and Kulazhi are 400 and 360 respectively. And their projected deviations are 3,16 and 2.0 respectively. If you were. a doctor, who would you treat immediately?.​

Answers

If i were a doctor, the person I would treat immediately is; Kundaval because he has higher heart rate and larger projected deviation.

How to interpret Mean and Standard deviation?

We are given that;

Sum of heart rates taken 5 times for Kundaval = 400

Sum of heart rates taken 5 times for Kulazhi = 360

Projected deviation for Kundaval = 3.16

Projected deviation for Kulazhi = 2.0

Now, mean simply means the average of a set of given data while standard deviation is defined as a measure of how dispersed the data is in relation to the mean.

Thus, as a doctor, I would prioritize the treatment of the patient that has higher heart rate and larger projected deviation. Thus, we would conclude that Kundaval, whose sum of heart rate readings is 400 and whose projected deviation is 3.16 would be the one that should be treated first.

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Evaluate the expression when y=6 and x=9.

5y-x

Answers

Answer:

21

Step-by-step explanation:

y=6 and x=9.

5y x

= 5(6) – 9

= 30 – 9

= 21

i hope this helped

The correct answer is 29. You multiply 5 times 6 and subtract by 9. Follow the PEMDAS rules.

Mr Jenkins runs a large arable farm.
He grows three times as much wheat than barley,
and three times as much barley than corn. Farmer
Jenkins grows twice as much corn as pumpkins.
Mr Jenkins's farm has an area of 270 acres.

Answers

Set

that

x acres.

wood to

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Using - your favorite statistics software package, you generate scatter plot which displays a linear form You find regression equation and the standard deviation for both variablesThe standard deviation for X is 1.34, and the standard deviation for y is 3.6. The regression equation is reported 4 1.891 What fraction of the variation in y can be explained by the variation in the values of x? (

Answers

The regression line is yˆ = 4 + 1.891x , the coefficient of determination of two variables or the fraction of the variation in y that can be explained by the variation in the values of x is 0.51..

Here the fitted regression equation of y on x is

yˆ = 4 + 1.891x ---(*)

where, x --> Independent variable

yˆ --> predicted value of the dependent variable

Now, b₁ = slope cofficient = 1.891 ~ 1.91

(estimated from least squares method)

We have given that,

Standard deviations for X = 1.34 = sₓ say

Standard deviations for Y = 3.6 = sᵧ say

we know, b₁ = r₀( sₓ/sᵧ ) where ro is corr(X,Y)

=> 1.91 = r₀ (3.6/1.34)

=> 1.91×1.34/ 3.6 = r₀

=> r₀ = 0.71944

Defining, R² = cofficient of determination of two variables = Proportion of variation in Y , explained by the variation in the value of X, through the regression model.

= (r₀)² = (0.71944)² = 0.505442

R² = 0.505442 ~ 0.51 (in two decimals)

Hence, the cofficient of determination is 0.51..

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Complete question:

Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.34 , and the standard deviation for y is 3.6 . The regression equation is reported as y = 4 + 1.891x . What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 1 and 2.)

Rocky spends 1 3/4 hours working out
on Monday, 2½ hours on Wednesday and 5/6 of
an hour on Friday. How much time did he spend
working out this week.

Answers

Answer:

5 1/12 hours

Step-by-step explanation:

You need a common denominator and that would be 12

1 [tex]\frac{9}{12}[/tex]       ([tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex]) another name for [tex]\frac{3}{3}[/tex] is 1.  You are making an equivalent fraction

2 [tex]\frac{6}{12}[/tex]      ([tex]\frac{1}{2}[/tex] x [tex]\frac{6}{6}[/tex])

[tex]\frac{10}{12}[/tex]          ([tex]\frac{5}{6}[/tex] x [tex]\frac{2}{2}[/tex])

1 [tex]\frac{9}{12}[/tex] + 2 [tex]\frac{6}{12}[/tex] + [tex]\frac{10}{12}[/tex] = 3 [tex]\frac{25}{12}[/tex]

I can break [tex]\frac{25}{12}[/tex] into [tex]\frac{12}{12}[/tex] + [tex]\frac{12}{12}[/tex] + [tex]\frac{1}{12}[/tex]  Another name for [tex]\frac{12}{12}[/tex] is 1

3 + 1 + 1 + [tex]\frac{1}{12}[/tex]

5 [tex]\frac{1}{12}[/tex]

Olivia and liam paint their houses. Olivia can paint her house in 9 hours while liam paints his in 7 hours. If olivia and liam painted together, write an equation that would find the time in hours t it. would take them to paint a house.

Answers

Answer:

t = 7/9 * 9 + 7/9 * 7 = 14 hours

Step-by-step explanation:

I'm not sure about this question DO NOT MIND THE TEXT IN THE BOX JUST ANSWER PLEASEEE!!

DONT ASNWER IF YOU DONT KNOW!

Answers

Answer:

You had it right, now all you have to do it add 18 and 30 and 4 and 3 and you should get your answer, than you take the answer and write 48r+7w=55rw

Step-by-step explanation:

I added 18, 30, 4, and 3. I got 48 for the 18 and 30 and 7 for the 4 and 3

Find the z-score such that the area under the standard normal curve to its left is 0.2

Answers

The z-score such that the area under standard normal curve to its left is 0.2 is found as -0.84.

Explain the term Z-score?

A mathematical table known as the Z table, also known as the Z-score table or the standard normal table, is used to determine the likelihood that the z-score number is below, above, or in between the values just on standard normal distribution.

Z-scores are the most used name for standard scores. Its similar concepts, like as z-values, standardized factors, and normal scores, are utilized in this article.A positive Z score score implies that the raw score is higher than the distribution's mean.For instance, a z-score of 2 indicates that the result is two standard deviations above the mean.If the Z score is negative, the distribution's mean is below the raw score value.

For the stated question,

You simply need to discover the location of 0.2 on the z-score table and then its z-score. (The area to the left of a z-score is shown in the table)

Our z-score is -(0.8 + 0.04) =  - 0.84 as a result.

Thus, the z-score such that the area under the standard normal curve to its left is 0.2 is found as -0.84.

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Weston Inc. just agreed to pay £19632 today, £19827 in one year later, £32464 in two years later to a landlord to explore for, but not extract valuable materials. If the landlord invests the money at a rate of 5.81% compounded annually, what is the investment worth two years from today?

Answers

Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.

What is the most a landlord can raise rent?

To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.

3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.

A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.

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Kimberly’s whole family has colds so she makes a 6-quart pot of chicken noodle soup and serves everyone a bowl. Her family has a total of 4 people. If each of Kimberly’s bowls hold about 2 cups how many bowls of soup are left in the pot

Answers

The quantity of bowls of soup are left in the pot aftee serving her family is 16 cups

How many cups are left?

Quantity of chicken noodle soup made = 6-quartNumber of people in Kimberly's family = 4Volume of bowl = 2 cups

Convert quarts to cups:

1 quarts = 4 cups6 quarts = 24 cups

Total quantity of soup served = Number of people in Kimberly's family × Volume of bowl

= 4 × 2

= 8 cups

Quantity of bowls of soup are left in the pot = Quantity of chicken noodle soup made - Total quantity of soup served

= 24 cups - 8 cups

= 16 cups

In conclusion, 16 cups of soup are left in the pot after serving.

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Question 1 of 10
What is the slope formula?
OA. ₂-₁,
Y/₂-1/₁
OB. -
X₂-X₁
O c. 2-₁
X₂-1/₁
D. +₁
Y/₂+1/₁
SUBMIT

Answers

Answer:

(y2-y1)/(x2/x1)

Step-by-step explanation:

Well uh I hope you get it


Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional
charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $222.00. On her second business trip she drove 200 miles in 3 days, and
paid $139.00 for the rental. Find the daily fee, and find the mileage charge.
Daily fee is $, and the mileage charge is $.

Answers

Answer:

Daily fee is $13.75, and the mileage charge is $0.37.


Find the missing fraction
_+ 1/16=3/2

Answers

Answer:

23/16?

Step-by-step explanation:

23/16 + 1/16 = 3/2

Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x

Answers

On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

What is quadratic equation?

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Solve the following equation:
3x^2= -12
a.
X = 2
b. x=-2
C.
No real solutions
d.
X = ‡2

Answers

3x^2= -12

Divide each side by factors that do NOT contain the variable

This means X = +/- 2 (with imaginary number)

6and 3/4 divided by 1 and 1/18

Answers

Answer:

Your answer is 6.

Step-by-step explanation:

If this is correct can i get branilest? Hope this helps :)

A rectangle is split into four triangle as shown. What is the area of shade triangle?

Answers

Answer:

First of all u need to find the rectangle area then subtract the area of three triangles.

step1 : 3×4=12

step2: 1×4/2 + 2×3/2 + 3×1/2 = 6.5

Answer = 12 - 6.5 = 5.5

A large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.
How many small prisms would it take to fill the large prism?

Answers

The required number of small prism that would be fill in the large prism is given as 6

As mentioned in the question, a large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.

Here,
The volume of the large prism = 12 × 9 × 6
                                              = 648 inches cube
The volume of the small prism = 12 × 3 × 3
                                              = 108 inches cube,


The ratio of the volume of the large prism to a small prism will give the number of small prisms needed to fill the large prism. So,
n = 648 / 108  = 6 / 1

Thus, the required number of small prism that would be filled in the large prism is given as 6.

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The greatest common factor of 250 and 300 is?

Answers

Answer:

250 / 50 = 5

300 / 50 = 6

Therefore, the greatest common factor of 250 and 300 is 50.its also known as a number to be divided so you can get the lowest fraction

Step-by-step explanation:

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The greatest common factor of 250 and 300 is 50

What is the greatest common factor of two numbers?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number.

Given here: The numbers as 250 and 350

Steps to find GCF

Find the prime factorization of 250

250 = 2 × 5 × 5 × 5

Find the prime factorization of 300

300 = 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers

Hence, GCF = 2 × 5 × 5  GCF = 50

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Can somebody please tell me how do i solves these. Thank you.

Answers

1. The statement is false, as the differential equation is of the second order but it is nonlinear.

2. The statement is false, as the differential equation is linear.

3. The third statement is correct, as the differential equation is of the fourth order and nonlinear.

How to classify the differential equations?

Regarding to linearity, the differential equations are classified as follows:

Linear: the derivatives of y are multiplied only by terms that do not contain the variable y.Non-linear: the derivatives of y are multiplied by terms that contain the variable y.

Regarding the order, it is given by the order of the highest derivative in the differential equation.

For question 1, the differential equation y''y + (y')² = sin(x) is in fact of the second order, as the highest derivative is y'' (second derivative), but it is nonlinear, due to the multiplication of y by y''.

Hence the differential equation for question 2 is linear, as the multipliers to the derivatives are of x and -1, neither of which contains the variable y.

For question 3, we have that:

The differential equation is of the fourth order, as y''' x y' = y''''.The differential equation is nonlinear, due to the multiplication of y by xy'''.

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What is the volume of this figure?

Answers

The Volume of the given figure is 264 cubic units

What is Volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.

Solution:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid 1 = 8*5*5 = 200 cubic units

Volume of Cuboid 2 = 8*8*1 = 64 cubic units

Total Volume = 200 + 64 = 264 cubic units

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{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank

Answers

It’s 4. To find you just divide the answer (4/6) by 1/6 and to divide using a fraction you first invert it and then just multiply. So they way it works is you take 4/6 • 6/1 the 6’s cancel out and you end up with 4/1 which equals just 4.
Hope this helps :)

Choose the function whose graph is given by:
A. y=-3.5cos x
B. y=3.5sin x
C. y=sin(3x)
D. y=2.5sin x

Answers

Answer:

A a option is right because cause 3 is near to zero that's value one and y 3.5 x 1near equal to 3 something

Charlie starts to sove a system of linear equations graphically. he puts both equations into slope-intercept form and notices that the lines have the same slope. based on this information only, which of the following statements is true?A. The system could have no solution, one solution, or infinitely mani solutionsB. The system has no solution because two equations with the same slope never intersectC. The system has either no solution or infinitely many solutions, depending on the y-interceptsD. The system has infinitely many solutions because two equations with the same slope represent the same lineHx - 4y = -10Kx + 3y = -15

Answers

C. The system has either no solution or infinitely many solutions, depending on the y-intercepts

what is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

If the slopes of both lines are same then the lines are parallel. Now, both the equations can represent same line or two different lines. If the equations represent the same line, then they are coincident and have infinite number of solutions, else if the equations represent two different lines with same slope then they are parallel and hence will never intersect, and therefore won't have any solution

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The system has either no solution or infinitely many solutions, depending on the y-intercepts

If the slopes of both lines are same then the lines are parallel. Now, both the equations can represent same line or two different lines. If the equations represent the same line, then they are coincident and have infinite number of solutions, else if the equations represent two different lines with same slope then they are parallel and hence will never intersect, and therefore won't have any solution

Realiza las siguientes potencias

Answers

The powers is 5 - 1/2³.

What is Exponents and Powers?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number has been multiplied by itself is referred to as an exponent.

Given:

(5 - [tex]2^{-3}[/tex])

As, we know that

[tex]a^{-m[/tex] = 1/ [tex]a^m[/tex]

Then, (5 - [tex]2^{-3}[/tex])

= 5 - 1/2³

= 5-1/8

= 40-1/8

= 39/8

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The Translation of attached question is

Make the following powers

Select the correct answer. Consider the following equation. − 16 ⁢ p + 37 = 49 − 21 ⁢ p Select the equation that has the same solution as the given equation. A. − 55 + 12 ⁢ p = 5 ⁢ p + 16 B. − 14 + 6 ⁢ p = − 9 − 6 ⁢ p C. 2 + 1.25 ⁢ p = − 3.75 ⁢ p + 10 D. 3 2 ⁢ p − 5 + 9 4 ⁢ p = 7 − 5 4 ⁢ p

Answers

The equation that has the same solution as − 16 ⁢p + 37 = 49 − 21 ⁢p is (3/2)p - 5 + (9/4)p = 7 - (5/4)p thus option (C) is correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

− 16 ⁢p + 37 = 49 − 21 ⁢p

-16p + 21p = 49 - 37

5p = 12

p = 12/5 = 2.4

In the equation,(3/2)p - 5 + (9/4)p = 7 - (5/4)p

(3/2)p + (9/4)p + (5/4)p = 7 + 5

5p = 12

p = 2.4

Hence "The equation (3/2)p - 5 + (9/4)p = 7 - (5/4)p has the same solution as  − 16 ⁢p + 37 = 49 − 21 ⁢p ".

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Find the multiplicative inverse of −1/2.

Answers

Answer:

2

Step-by-step explanation:

To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.

Are there any circles for which the relationship between the diameter and the circumference cannot be represented by π? explain

Answers

Well, the diameter and circumference scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, circumference is equal to x diameter. There are no exceptions because this is the definition of.

Give an example of diameter.

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.

What is a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

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Let ƒ(x) = 8(1/4)^X+³ — 4.
The graph of f(x) is translated 4 units down to form the graph of g(x).

Answers

The function f(x) is translated by 4 units down to form a function g(x) will be written below.

[tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8\\[/tex]

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

[tex]f(x) = 8 \times \left (\dfrac{1}{4} \right )^{x^3} - 4[/tex]

Simplify the equation, then we have

[tex]f(x) = 8 \times \left (\dfrac{1}{4} \right )^{x^3} - 4\\\\\\f(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 4[/tex]

The function f(x) is translated by 4 units down to form a function g(x) will be given as,

[tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 4-4\\\\\\g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8[/tex]

The function f(x) is translated by 4 units down to form a function g(x) will be [tex]g(x) = 8 \times \left (\dfrac{1}{4} \right )^{3x} - 8\\[/tex]. The graph is drawn below.

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1. Find the slope of a line that passes through (3,-5) and (6,-6)
m=____
2. y=7 x+2
m=___
5. Find the slope of a line that passes through ( 4.5, 3.5) and (9.5, 5.5)
m=_____
6. y=-3 x-4
m=_____

Answers

The slope the lines in the given functions are -1/3, 7, 0.4 and -3

Slope of a Line

The is the ratio of the rise to run of the graph or the ratio of change in y- coordinate to the change in the x-coordinate.

The formula of slope is given as;

m = y₂ - y₁ / x₂ - x₁

1)

The points are

A = (3, -5)B = (6, -6)

Applying the formula of slope of a line

m = -6 - (-5) / 6 - 3)

m = -6 + 5 / 3

m = -1/3

slope is - 1/3

2) The equation 7x + 2 is a linear equation which is modeled as y = mx + c

where m is the slope and c is the y - intercept

The slope of the linear equation y = 7x + 2 is 7

slope is 7

5) Using the formula of slope of a line

m = y₂ - y₁ / x₂ - x₁

m = 5.5 - 3.5 / 9.5 - 4.5

m = 0.4

Slope is 0.4

6) The linear function y = -3x - 4

Comparing the function with y = mx + c

The slope is -3

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Other Questions
Which of the following pieces of evidence does the author use to support his implicit argument that Maya society underwent a dramatic cultural change in the sixteenth century?A Dominican friars knew the Maya language.B The Maya were converted to Christianity.C The Maya nobility lost its social status.D Maya people before the conquest were illiterate. find the mean, variance, and standard deviation for the number of heads when 17 coins are tossed. round your answers to three decimal places. Why do you think did the children dislike their aunt story? FILL IN THE BLANK A community study in Korea and an examination of records in a day hospital in Italy both lend support for the idea that there are ____________ differences in the prevalence of mental disorders such as depression. For their class project, a group of statistics students decide to survey the student body to assess opinions about the proposed new student center. Their sample of 200 contained 50 first-year students, 50 sophomores, 50 juniors, and 50 seniors. 8. Use the excerpt from the 1837 message of Brigadier General John E. Wool to the Cherokee Nation to answer the question.Using the excerpt from Brigadier General John E. Wool, answer (a), (b), and (c).In 1-2 sentences, identify TWO instances where Wool notes that injustices have been done to the Native Americans hes speaking to.In 2-3 sentences, summarize Wools argument as to why it is best that the Native Americans hes speaking to follow his instructions.In 2-3 sentences, explain what Wools argument suggests about the causes of westward expansion into Indian territory.14. Use the excerpt from John OSullivans article The Great Nation of Futurity to answer the question.Using the excerpt from John OSullivan, answer (a) and (b).How does OSullivan weave religious themes into his understanding of manifest destiny? Your response should be 2-3 sentences.What does OSullivan believe will unite the many diverse peoples of the nation together in the future he imagines? Your response should be 2-3 sentences. 19. Use the excerpt from the WPA Slave Narrative of Patsy Moses to answer the question. Using the WPA slave narrative of Patsy Moses, answer (a) and (b).In 1-3 sentences, identify ONE way that this narrative supports the conclusion that enslaved Africans forged their own communities and cultures.In 1-3 sentences, explain how the preservation of these forged communities and cultures may have served an important purpose in slave societies.20. Use the excerpt from Henry David Thoreaus On the Duty of Civil Disobedience to answer the question. Using the excerpt from Henry David Thoreaus On the Duty of Civil Disobedience, answer (a) and (b).In 2-3 sentences, identify ONE way that Thoreau expresses his skepticism of governmental power.In 2-3 sentences, explain how Thoreau uses the Mexican-American War to support his conclusions.21. Use the image American Progress to answer the question. Using the illustration above, answer (a) and (b).In 2-3 sentences, describe the metaphorical significance of the woman in the image.In 2-3 sentences, explain how the painting reflects the ideas, values, and realities of mid-nineteenth-century America.I need them all answered, thank you Members of this group of microbes can break down glycogen deposited in the vaginal lining in response to estrogen. This helps to drop the pH in the area, preventing infections. among all fractions $x$ that have a positive integer numerator and denominator and satisfy $$\frac{9}{11} \le x \le \frac{11}{13},$$ which fraction has the smallest denominator? Where is the best place to put money to earn interest? The total of all the chemical reactions and physical changes within the body is the:a. homeostatic balanceb. catabolismc. anabolismd. metabolism What can go into 98? What are 4 reasons to open a checking account? What seems to be the poet's attitude about war? In your opinion, is war usually a worthyendeavor for humankind? Use examples from the text as well as your own life experiences. Don'tforget to use the S-Summarizing sentence at the end. Please help asap How does Hamlet know he is being spied on? How did the Supreme Court justify its decision in Griswold v. Connecticut quizlet? just as a traffic light turns green, a waiting car starts off with a constant acceleration of 6.0 m/s2 . at the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. (a) how far will the car travel before it overtakes the truck? (b) how fast will the car be traveling when it overtakes the truck? Graph g(x) = -3x + 9 and identify its x-intercept.(0, 3)(0, 9)(3, 0)(9,0) An electron cannot have the quantum numbers n = ________, l = ________, ml = ________.A) 2, 0, 0B) 2, 1, -1C) 3, 1, -1D) 1, 1, 1E) 3, 2, 1 Tara runs an amusement park ride and needs to count the people who get on the ride. At the beginning of her shift, 132 people had ridden the ride. This table shows the total number of riders for several times during tara's shift. The wholesale price for a pair of shoes is $4.50. A certain department store marks up the wholesale price by 90%. Find the price of the pair of shoes in the department store.Round your answer to the nearest cent, as necessary.help pls