The set of all real numbers x that satisfies 5<_ x<_ 8 is given by the following interval notation:
[5, 8].

The Set Of All Real Numbers X That Satisfies 5&lt;_ X&lt;_ 8 Is Given By The Following Interval Notation:[5,

Answers

Answer 1

Answer:

true

Step-by-step explanation:

Answer 2

Answer:

True is the answer

Step-by-step explanation:

got it correct on my quiz


Related Questions

Assuming the pattern in the table continues, what is the function value when x = 6?

Answers

Answer:

486

Step-by-step explanation:

it multiplies by 3 each time

Answer:

486

Step-by-step explanation:

I just did 6/2 and got three and that was the rate of change so I multiplied 3 to  2 to get 6 and then multiplied 3 again to get 18 and kept going until I got to 162 and multiplied that to 3 to get 486.

An aquarium Is 8 feet long , 5feet wide , and 5.5 feet deep . What is the volume of the tank ?

Answers

Answer:

220 ft^3

Step-by-step explanation:

Assuming a rectangular tank,

V = l*w*h

   = 8*5*5.5

   =220 ft^3

The ratio of nonfiction books to fiction books in a library is 105 to 189. Which statement describes this relationship?



A)
There are 5 nonfiction books for every 9 fiction books in the library.

B)
There are 9 fiction books for every 5 nonfiction books in the library.
C)
There are 5 nonfiction books for every 14 books in the library.

D)
There are 9 fiction books for every 14 books in the library.

Answers

Answer: A)There are 5 nonfiction books for every 9 fiction books in the library.  

Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.

105/5=21 and after 21*9 lines up and to check your work than

5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9

Per 5 nonfiction books there are 9 fiction books in the given library.

Given that;

Ratio of nonfiction books to fiction books = 105:189

Computation:

Ratio of nonfiction books to fiction books = 105:189

[tex]Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{105}{189}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{35}{63}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{5}{9}\\\\[/tex]

So,

we say that;

Per 5 nonfiction books there are 9 fiction books

Option "A" is the correct answer to the following question.

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I need to solve this system of equations, how do I do that?
3x-4y=20
y=3/4x-5

Answers

Answer:

Is is Infinitely many solutions so 0=0

Step-by-step explanation:

First we have to rearrange/simplify the equations:

Equation 1: 4y - 3x = -20

Equation (2):  y - 3x/4  = -5

Then you remove the fractions by multiplication:

Multiply equation (2) by 4

The Equations now look like this:

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

Solve for y on Equation (2):

y = 3x/4 - 5

Then plug in this for the y in Equation 1 and then solve:

4•(3x/4-5) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

Simpliest expression for (12.7y-3.1x)+5.9y-(4.2y-x)

Answers

Answer:

  -2.1x +14.4y

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine like terms.

  (12.7y-3.1x)+5.9y-(4.2y-x)

  = 12.7y -3.1x +5.9y -4.2y +x

  = x(-3.1 +1) +y(12.7 +5.9 -4.2)

  = -2.1x +14.4y

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 334 people living in East Vancouver and finds that 43 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this?

Answers

Answer:

The sample should be as large as 480

Step-by-step explanation:

Probability of having a flu, p = 43/334

p = 0.129

Margin Error, E = 0.03

Confidence Interval, CI= 95%

At a CI of 95%, [tex]z_{crit} = 1.960[/tex]

The sample size can be given by the relation:

[tex]n = p(1-p)(z/E)^{2}[/tex]

[tex]n = 0.129(1-0.129)(1.960/0.03)^{2} \\n = 479.59\\n = 480[/tex]

Final answer:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

Explanation:

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

Where:

n is the required sample size z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence) p is the estimated proportion of the population with the characteristic (in this case, the proportion of people with the flu in East Vancouver) E is the desired margin of error (in this case, 0.03)

Plugging in the given values:

n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42

So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

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Rewrite x^2 + 6x +15 in the form of a perfect square and a constant

Answers

Answer:

[tex](x+3)^{2}+6[/tex]

Step-by-step explanation:

The given expression is:

[tex]x^2+6x+15[/tex]

We have to re-write the given expression in form of perfect square. The above equation can be rewritten as:

[tex](x^2+6x)+15\\\\ =(x^2+2(x)(3))+15[/tex]

The general formula of a perfect square is:

[tex](a+b)^{2}=a^{2}+2(a)(b)+b^{2}[/tex]

Comparing previous two equations we can conclude that:

We have the square of first term(x), we have twice the product of first term(x) and second term(3). The square of second term(3) is missing. We can rewrite the previous equation as:

[tex](x^2+2(x)(3))+9+6\\\\ =(x^2+2(x)(3)+9)+6\\\\ =(x^2+2(x)(3)+3^{2})+6\\\\ =(x+3)^{2}+6[/tex]

This is the required form of the given expression.

Brenda sewed a total of 784 buttons on 90 dresses. She sewed 8 or 12 buttons on each dress. how many dresses have 12 buttons on it?please help fast​

Answers

The answer is 16
.
12x + 8(90-x) = 784
12x + 720 - 8x = 784
4x = 64
x = 16

16 dresses have 12 buttons
Final answer:

By setting up a system of equations based on the given information, we find that Brenda sewed 12 buttons on 28 dresses.

Explanation:

Since there are 90 dresses in all, Brenda would have sewed 8 buttons on some and 12 buttons on the remaining. We can set up a system of equations to solve this. Let's say the number of dresses that have 8 buttons is 'x' and the number of dresses with 12 buttons is 'y'. Hence, we have two equations:

x + y = 90 (which is the total number of dresses)8x + 12y = 784 (which is the total number of buttons)

From the first equation, we get x = 90 - y. Substituting this into the second equation, we have 8*(90 - y) + 12y = 784. Solving this yields, y = 28. Therefore, Brenda sewed 12 buttons on 28 dresses.

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Name: Joseph Sandoval, single, 1 exemption. Pay Rate: 5? per unit Unit produced: M-900, T-840, W-825, T-905, F-910

Answers

Answer:

1-4380   2-219   3-15.44    4-37.1     5-6.13      7-58.67     8-160.33

Step-by-step explanation:

Solve the equation v3 = 36.

Answers

Answer:

The answer is v=12.

Step-by-step explanation:

[tex]\frac{v3}{3} =\frac{36}{3\\}[/tex]

[tex]v= \frac{36}{3}[/tex]

[tex]v=12[/tex]

The solution of v³ = 36 for v will be 3.32.

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. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the equation,

v³ = 36

Now,

By taking inverse exponents,

v = [tex]36^{1/3}[/tex]

v = 3.32

Hence "The solution of v³ = 36 for v will be 3.32".

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1. What is the volume in cubic inches of the prism?
3inx5inx8in​

Answers

Answer:

120 in or 60in or 60^2

Step-by-step explanation:

brainly pls

60 in I believe thats the right one

Determine the length of arc JL. A) 25/ 9 π B) 5 /13 π C) 25 /18 π D) 14 /17 π

Answers

Answer:

Option C is the right choice where length of the arc is 25/18π.

Step-by-step explanation:

Given:

Length of the radius of the circle, [tex]r[/tex] = 2 unit

Angle between the arc, [tex]\theta[/tex] = 125°

We have to find the arc length.

Let the arc length JL be "a" unit.

Formula to be used:

Arc length = (Circumference times angle ) / 360°

Using the above formula and plugging the values.

⇒ Arc length, JL, 'a' = [tex]2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi (2)\times (\frac{125}{360})[/tex]

⇒ [tex]a=4\pi \times (\frac{125}{360})[/tex]

⇒ [tex]a=\frac{4\pi \times 125}{360}[/tex]

⇒ [tex]a=\frac{500\pi }{360}[/tex]

⇒ [tex]a=\frac{50\pi }{36}[/tex]

⇒ [tex]a=\frac{25\pi }{18}[/tex]          ... reducing to lowest term.

So,

The length of the arc JL is 25/18π and option C is the right choice.

Help me please!!!

Help me understand why sin2x+cos3x. Equals = 2sinxcosx+4cos³x-3cosx

Use the double identity

Answers

Step-by-step explanation:

sin(2x) + cos(3x)

Use double angle formula sin(2x) = 2 sin x cos x.

Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.

Substitute:

2 sin x cos x + 4 cos³x − 3 cos x

Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -6x + 3 = 45 x =

Answers

Answer:

x = -7

Step-by-step explanation:

-6x + 3 = 45  

      - 3    - 3

        -6x = 42

         /-6 = /-6

         x    =  -7

The value of x to satisfy the given equation is 1/17.

Given,

-6x + 3 = 45x

We need to find x that makes that satisfy the equation.

What is numerals?

A numeral is a symbol or name that stands for a number.

Find x.

-6x + 3 = 45x

Subtract 45x on both sides

-6x + 3 - 45x = 45x - 45x

-51x + 3 = 0

Subtract -3 on both sides

-51x + 3 - 3 = -3

-51x = -3

Divide both sides by 51

(51/51)x = 3/51

x = 1 / 17

This means we need x = 1/17 to make the equation true.

-6 x 1/17 + 3 = 45 x 1/17

-6/17 + 3 = 45/17

(-6 + 51) / 17 = 45/17

45/17 = 45/17

Thus the value of x to satisfy the given equation is 1/17.

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A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.10 years. Compute and interpret a 90% confidence interval for the mean time to graduate with a bachelor’s degree. Does this evidence contradict the belief that it takes 4 years to complete a bachelor’s degree?

Answers

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

The information provided is:

[tex]\bar x=4.58\\s=1.10\\\alpha =0.10[/tex]

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671[/tex]

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

     [tex]=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)[/tex]

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

Final answer:

The 90% confidence interval for the mean time to graduate ranges from approximately 4.32 to 4.84 years, indicating it may take longer than 4 years to complete a bachelor's degree on average.

Explanation:

To calculate the 90% confidence interval for the mean time to graduate, we'll use the sample mean (Ü), standard deviation (s), and the sample size (n).

The formula for the confidence interval is:

Ü ± (t* × (s/√n))

Where

t* is the t-score that corresponds to the 90% confidence level and n-1 degrees of freedom.

Since our sample size (n) is 50, we have 49 degrees of freedom.

Using a t-distribution table or calculator, we can find the appropriate t* value.

Now, let's use the provided information: Ü = 4.58 years, s = 1.10 years, and n = 50.

Assuming that the t-score (t*) is approximately 1.676 for 49 degrees of freedom at the 90% confidence level, we can compute the margin of error (ME):

ME = 1.676 × (1.10/√50) ≈ 0.26 years

Thus, the 90% confidence interval is:

4.58 ± 0.26 years

This interval ranges from approximately 4.32 to 4.84 years. It suggests that we can be 90% confident that the true mean time for graduates to complete a bachelor's degree is within this range.

The confidence interval does not contain the value of 4 years. Thus, this may indicate that it takes longer than 4 years on average to complete a bachelor's degree, contradicting the belief that it takes exactly 4 years.

I need help finding the answers to these questions thank you soo much!!!!

Answers

hopefully this helps you ..

Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. Is the amount Mrs. Kloske and Mrs. Shelly paid equivalent

Answers

Yes, because you can multiply $3 by 3 to get $9 and 6 muffins by 3 to get 9 muffins.

Answer:

Yes

Step-by-step explanation:

Mrs. Shelby

$3 for  6 muffins

$3 for every 6 muffins 3 X 6 =18

$3...6

$6...12

$9....18

Mrs. Kloske

$9 for 18        

They are equivalent in the sense that the price break down would be the same.

Simplify 3y -y
.
.

.

.

Answers

The answer for this question is 2y

3y-y =2y

you have 3 ys and you are taking one y away so  the answer is 2y.

think it as 3 yogurts and you eat one, then you have 2 yogurts

hope this helps!  

Which describes the relationship between 15,700 and 157,000? A 15,700 is 1/10 of 157,000 B 157,000 is 1/10 of 15,700 C 15,700 is 1/100 of 157,000 D 157,000 is 1/100 of 15,700

Answers

Answer: 15,700 is 1/10 of 157,000 (A)

Step-by-step explanation:

The relationship between 15,700 and 157,000 is that 15,700 is 1/10 of 157,000

1/10 × 157,000 = 15,700

A 15,700 is 1/10 of 157,000

= 1/10 × 157,000

= 15700 (Correct)

15700 equals 15700

B 157,000 is 1/10 of 15,700

= 1/10 × 15700 = 1570 (Wrong)

1570 is not equal to 157000

C 15,700 is 1/100 of 157,000

= 1/100 × 157,000 = 1570 (Wrong)

1570 is not equal to 15700

D 157,000 is 1/100 of 15,700

1/100 × 15700 = 157 (Wrong)

157 is not equal to 157000

True or false you can represent the distance of an object underground using negative numbers

Answers

Answer:

True

Step-by-step explanation:

Since if you use negative number you can determine the length between -3 and 0.

In a hydraulic jack, the pipe below the load has an area of 4 m2, and the pipe through which the input force transmits has an area of 0.1 m2. What input force is necessary to balance a load of 9,000 N?

Answers

Answer:

The input force needed is 225 Newtons

Step-by-step explanation:

From hydraulic pressure laws,  we have that the pressure at the same level throughout the body of a fluid is equal.  

This means that for the Hydraulic Jack, input pressure = output pressure

Recall,Pressure is a ratio of force and area

i.e pressure = Force / Area

For the hydraulic jack to work properly, the pressure at the input end must be equal to the pressure at the output end.

[tex]\frac{F_{1}}{A{1}} = \frac{F_{2}}{A_{2}}[/tex]

[tex]\frac{9000}{4}=\frac{Force}{0.1}[/tex]

From this we can compute that the Input force = 225 Newtons

Answer:

Step-by-step explanation:

Since the pipe is an enclosed container, we would apply Pascal's law which states that a pressure applied to a fluid in a closed container is transmitted equally to every point of the fluid and the walls of the container,

This means that pressure at input = pressure at output

Pressure = force /area

Input force = unknown

Input area = 0.1 m²

Output force = 9000N

Output area = 4m²

Therefore

Input force/0.1 = 9000/4

Input force = 0.1 × 9000 /4 = 225N

For this question please tell me if I'm right or wrong. If I'm wrong please correct me.

Please use the following image below in order to answer the question correctly:

Tell whether KN is best described as a radius, chord, diameter, secant, or tangent of ⊙P.

What can be KN best described as?

Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)

Answers

Answer:

KN can be best described as a Diameter, as it is a chord(Line that goes between two distinct points in a circle) and goes through the radius.

An example of a radius would be segment KP or PN.

An example of a chord would be segments KN or NM.

An example of a secant would be line LN

An example of a tangent would be line JL.

Answer:

C) diameter

Step-by-step explanation:

KN is a straight line passing through the centre and not outside the circle, so it's a diameter

What’s the inverse of 2(x-2)^2 = 8(7+y)

Answers

Answer:

y= (x-2)^2/4-7

Step-by-step explanation:

if y varies inversely with x, and y = 4.75 when x =38, find y when x = 50

Answers

Answer:

y=3.61

Step-by-step explanation:

y=k/x

4.75= k/38

(4.75)(38)=k

k=180.5

y=180.5/50

y=3.61

Final answer:

y varies inversely with x, which means y = k/x. With y = 4.75 when x = 38, the constant k equals 180.5.

Hence, when x = 50, y equals 3.61.

Explanation:

If y varies inversely with x, this means the relationship between y and x can be described by the equation y = k/x, where k is a constant. Given that y = 4.75 when x = 38, we can first find the constant k by multiplying y by x:

k = y * x = 4.75 * 38 = 180.5

Now that we have found the constant k, we can use it to find y when x = 50. Using the inverse variation formula again, we have y = k/x:

y = 180.5 / 50 = 3.61

Therefore, when x is 50, y is 3.61.

Two angles in a triangle have measures of 23 and 98 what is the third measure of the third angle

Answers

Answer:

59

Step-by-step explanation:

As far as I know every triangle has to equal 180°

So if you add 98+23 you would get 121

subtract that from 180 and get 59

Hope this helps!

whats 4,583,000,000 in scientific notation?

Answers

Answer:

4.583 *10^9

Step-by-step explanation:

for scientific notation, the number has to be 1<x<10

so in this case, move the decimal point behind the 4. since there are 3 other non 0 digits behind the 4, write it as 4.583

now count how many spaces there are after the 4 and put that as the exponent for 10

Answer:

4.58 x 106

Step-by-step explanation:

i hope this help

The weight distribution of parcels sent in a certain manner is normal with mean of 12 lb and standard deviation of 3 lb. The parcel service wishes to establish a weight value c beyond which there will be a surcharge. What value of c is such that 99% of all parcels are under the surcharge weight?

Answers

Answer:

21.16

Step-by-step explanation:

Starting from the theory we have the following equation:

[tex]fi*P(x<c-1) = 0.99[/tex]

Using the data supplied in the exercise, we have subtracting the mean and dividing by the standard deviation:

[tex]P( z \leq \frac{c-1-12}{3.5}) =0.99/fi[/tex]

solving for "c", knowing that fi is a tabulating value:

[tex]\frac{c-13}{3.5}=0.99/fi\\\frac{c-13}{3.5}=2.33\\c-13=2.33*3.5\\c = 8.155 +13\\c = 21.155[/tex]

therefore the value of c is equal to 21.16

A cube measures 3 meters on a side. What is it’s volume?

Answers

Final answer:

The volume of a cube that measures 3 meters on one side is 27 cubic meters.

Explanation:

The volume of a cube is calculated by raising the length of one side to the power of three, which in mathematical notation is written as s^3. If a cube measures 3 meters on one side, you would calculate the volume as follows: 3^3 = 3 * 3 * 3 = 27 cubic meters. So, the volume of this cube is 27 cubic meters.

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In order to answer the question correctly, please use the following image below:

Points Y and Z are points of tangency. Find the value of c.

C= (blank)

What is the value of C?

Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)

Answers

Answer:

C = 2

Step-by-step explanation:

9c + 14 = 2c^2 + 9c + 6

-9c                     -9c

14 = 2c² + 6

-6           -6

8 = 2c²

4 = c²

c = 2

The value of c on the circle is 4 or -4.

What is tangent on a circle?

In geometry, the tangent of a circle is a line that intersects the circle at only one point, known as the point of tangency.

The tangent line is perpendicular to the radius of the circle at that point.

We have,

XY and XZ are tangent on the same circle.

So,

XY = XZ

This means,

2c² + 9c + 6 = 9c + 14

Combining like terms.

2c² + 9c - 9c + 6 - 14 = 0

2c² - 8 = 0

2c² = 8

c² = 8/2

c² = 4

c = √4

c = ±4

Thus,

The value of c is 4 or -4.

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find the value of tan (a-b) if cos a=4/5 on the interval (270, 360) and sin b=-5/13 on the interval (270, 360)

Answers

We can find a and b using inverse trig functions,

[tex]

\cos(a)=\frac{4}{5}\implies a=\arccos\Big(\frac{4}{5}\Big)\approx36.87 \\

\sin(b)=-\frac{5}{13}\implies b=\arcsin\Big(-\frac{5}{13}\Big)\approx-22.62

[/tex]

[tex]\tan(36.87-(-22.62))\approx1.7[/tex]

Hope this helps.

Other Questions
which table represents a function? Help plz The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize? Will mark brainliest!!!!!!!!!!! -Read the excerpt from John F. Kennedys inauguration speech in January 1961. Then answer the question.-John F. Kennedy's inauguration speech, January 1961.Let every nation know, whether it wishes us well or ill, that we shall pay any price, bear any burden, meet any hardship, support any friend, oppose any foe to assure the survival and the success of liberty.This much we pledge and more.To those old allies whose cultural and spiritual origins we share, we pledge the loyalty of faithful friends. United there is little we cannot do in a host of cooperative ventures. Divided there is little we can do for we dare not meet a powerful challenge at odds and split asunderIn the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibility I welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve it and the glow from that fire can truly light the world. And so, my fellow Americans: ask not what your country can do for you ask what you can do for your country.-In a paragraph of 35 sentences, describe what John F. Kennedy believed was an important responsibility for all Americans. How were his policy goals different from those of his predecessors? Include specific examples or quotes from the speech. On January 1, 2021, Warren Corporation had 1,000,000 shares of common stock outstanding. On March 1, the corporation issued 200,000 new shares to raise additional capital. On July 1, the corporation declared and issued a 2-for-1 stock split. On October 1, the corporation purchased on the market 600,000 of its own outstanding shares and retired them. Compute the weighted average number of shares to be used in computing earnings per share for 2021. Chaz loves to play a Disney online pirate game in which he gets to create a pirate by choosing hair color, skin color, clothing, and physical features. Then he gets to choose from a variety of quests and can sail a ship, dig for treasure, fight skeleton pirates, or fight the British Navy. This game provides what element of value?a. Co-creationb. Earning of trustc. Offering products that performd. Avoiding unrealistic pricinge. Giving facts If I add water to 100ml of a 0.15m potassium sulfate until the final volume is 150ml what will the molarity of the diluted solution be Donkeys have a somatic chromosome number of 62. Hybrids produced by crossing donkeys and zebras are called zonkeys, are sterile, and have many characteristics intermediate between the two parental species. If a zonkey has 52 chromosomes, what is the somatic chromosome number of zebras: How do I solve this math problem you and your friend are selling magazine subscriptions for a fundraiser. After w weeks , you have sold (7w = 6) subsriptions and your friend has sold ( 9w = 2) subscriptions. Whats the diffrence written in simple expression form? Look at these factors that encouraged African Americans to move north during the Great Migration.Which ones are push factors? Which ones are pull factors? Your friend really likes a t-shirt that you purchased last week at a concert by your mutually favorite musician group. You purchased the very last shirt in your size and there are no more available. She asks you of there were any way she might obtain the shirt from you. Although a bit reluctant, you might be willing to do so.What are at least three ways that you could solve this problem in a way that both of you will be happy? Which senator, angered by an antislavery speech, physically attacked another senator?A) Stephan A. DouglasB) John BrownC) Charles summerD) Preston Brooks What is a central theme of the play? What details from the play support the theme?Choicesa play in two scenesCHARACTERS:TaylorBriannaScene 1Stage Set: The lights come up on the hallway of a neighborhood community center. Taylor and Brianna are standing in front of a large bulletin board. Taylor is scanning the notes and postings attached to the board. She is clearly distracted. Brianna is studying one particular notice intently.TAYLOR:When are they going to schedule tryouts? They always have tryouts for basketball by now, don't they?BRIANNA:(not really paying attention to Taylor) I guess so.TAYLOR:I've been practicing my jump shot, and I'm ready to go. (Taylor dribbles an imaginary ball and spins around to make an imaginary shot.) Score! The crowd is cheering like thunder! (She realizes Brianna is not paying attention and that she is still focused on the same notice.) Hello? Earth to Brianna, Earth to Brianna, come in Brianna.BRIANNA:(realizes that she has been ignoring Taylor) Sorry . . . what were you saying?TAYLOR:What is so captivating over there?BRIANNA:(turns back to the bulletin board) This notice for a Yoga for Beginners class. Every Wednesday at 4. It sounds really interesting.TAYLOR:It sounds really boring.BRIANNA:(studying the notice again) They teach you how to focus.TAYLOR:Can't you just put on headphones and listen to music?BRIANNA:I get so stressed sometimes. This ad says the class will teach relaxation techniques that help to melt away stress.TAYLOR:(does a little more imaginary dribbling) Basketball makes me relax. (serious) We always played together. If you take this class, we can't do basketball together.BRIANNA:(torn about what to do) I know. (They are both silent for a few seconds.)TAYLOR:Come on. You'll probably feel weird in that class. I bet it's mostly older people.BRIANNA:I guess you're right.(The two girls start to leave, but Brianna takes one more look at the bulletin board before she follows Taylor out the door. Lights fade.)Scene 2Stage Set: Lights come on in the gymnasium in the community center. Taylor wears a basketball uniform and dribbles a basketball, looking up at a hoop offstage. Brianna enters and stands behind her. Taylor turns, but she doesn't speak.BRIANNA:Hey.TAYLOR:(hesitant at first) Hey, how did you find me?BRIANNA:I saw the notice on the board. And I saw your name listed as having made the cut. Congratulations!TAYLOR:(shrugs) Thanks. How is class?BRIANNA:It's cool. I'm glad I decided to participate. I'm learning all kinds of stuff. But you were right. It is mostly older people.TAYLOR:Ah, you'll be good for them. (She thinks for a moment.) Maybe you can teach me some of those focusing techniques. I could use some focus.BRIANNA:Sure. And maybe . . . you and I can still shoot a few hoops once in a while?TAYLOR:(grins and hands the ball to Brianna) You're up! (Brianna bounces the ball a few times and crouches to make the shot. Just as she does, the lights fade and Taylor can be heard shouting "Yeah!") True or false: An allele is a version of a gene? Which value of b would make x+bx-30 factorable?A. -31B. -17C. 11D. 13 Assume that 357,250,000 kilocalories are available at the producer level in this Chesapeake Bay ecosystem. Calculate the amount of usable chemical energy available at each level in the pyramid. Show your work. What does body language not improve Why might these "Mental Maps" be inaccurate or differ between different people? Is x greater than,less than, or equal to 43 In this journal activity, you will choose a famous figure that you are interested in learning more about. It could be a historical figure, an actor or actress, a musician, sports figure, or other notable person. Use the Biography Graphic Organizer to capture interesting facts about your chosen person. Be sure to use credible and reliable reference sources, such as books in the library stacks, library databases, university websites, or website addresses ending with a ".edu" or ".gov". Be sure to keep a list of the sources you use so you can refer back to them if necessary, and document the information you need for proper MLA citations. 1+1=2+2=5x7-2+5=7000+3+67+90=