Help help pretty please

Help Help Pretty Please

Answers

Answer 1

Answer:

Yes it is

Step-by-step explanation:

It passes the vertical line test.


Related Questions

True or False: All horizontal lines have a y-intercept.

Answers

Answer:

If you are looking at a graph then yes it will have a y-axis

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

A horizontal line goes on infinitely on both ends will eventually cross the y-axis, making a y-intercept.

Need Help which one is it???

Answers

Answer:

the blue one but not sure

Answer:

the third one i think

Step-by-step explanation:

If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
A.15.0%
B.14.0%
C.18.4
D.16.3

Answers

Answer:

I THINK it would be B.

Step-by-step explanation:

I’m very sorry if I’m wrong.

Answer:

16.3%

Step-by-step explanation:

21.5 times 0.163= 3.5

Danny has a scale drawing of his house. If
3 inches (in) on the scale drawing equals
7 feet on the real house, what is the actual
height of the house?
5.4 in

Answers

Answer:

151.2

Step-by-step explanation:

7x12=84

84/3=28

28x5.4=151.2

Let X and Y be two continuous random variables with joint probability density function Calculate the positive constant b. Show the result with at least two decimal places. 5 -bcx cb - bzycb f(x,y) = 0 otherwise

Answers

The positive constant b is 0. This is obtained by setting the coefficient of the xy^2 term to zero in the equation derived from equating the integral of the joint probability density function to 1.

To compute the positive constant b, we need to calculate the integral of the joint probability density function (pdf) over the entire probability space and set it equal to 1 since it represents a valid probability density.

∫∫ f(x, y) dx dy = 1

Since the joint pdf is defined as:

f(x, y) = 5 - bcx * cb - bzycb

And it is zero otherwise, we can set up the integral as follows:

∫∫ (5 - bcx * cb - bzycb) dx dy = 1

To solve this integral, we need to determine the limits of integration. Since the joint pdf is not specified outside of the equation, we assume it is defined for all real values of x and y.

∫∫ (5 - bcx * cb - bzycb) dx dy = ∫∫ 5 - bcx * cb - bzycb dx dy

Integrating with respect to x first:

∫ (5x - bcx^2/2 * cb - bzy * cb) ∣∣ dy = 1

Now integrating with respect to y:

(5xy - bcxy^2/2 * cb - bzy^2/2 * cb) ∣∣ dy = 1

Since this equation holds for all real values of x and y, we can ignore the limits of integration.

Next, we can solve for b by equating the integral to 1 and simplifying:

(5xy - bcxy^2/2 * cb - bzy^2/2 * cb) = 1

Simplifying further:

5xy - bcxy^2/2 - bzy^2/2 = 1

Now, we can compare the coefficients of the terms on both sides of the equation:

- bc/2 = 0 (since there is no xy^2 term on the right-hand side)

Solving for b:

bc = 0

Since we are looking for a positive constant b, we can conclude that b = 0.

Therefore, the positive constant b is 0.

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What is the solution to the equation below?



0.5n = 6

Answers

It's 12 because if you divide 6 by 0.5 you should get 12, so basically use the opposite operation.

Hope that helps!

A train travels along a horizontal line according to the function s(t) = –13 + 3t2 – 4t – 4 where t is measured in hours and s is measured in miles. What is the velocity of the train after 4 hours?

Answers

The velocity of the train after 4 hours is 20 miles per hour.

To find the velocity of the train after 4 hours, we need to differentiate the given function s(t) with respect to t.

Velocity is the derivative of position with respect to time.

That is,v(t) = ds(t)/dtTo differentiate s(t) = –13 + 3t² – 4t – 4, we differentiate each term separately.v(t) = d/dt(-13) + d/dt(3t²) - d/dt(4t) - d/dt(4)v(t) = 0 + 6t - 4

The velocity of the train after 4 hours is given by substituting t = 4 in the above equation.v(4) = 6(4) - 4 = 20

The velocity of the train after 4 hours is 20 miles per hour.To sum up, the velocity of the train after 4 hours is 20 miles per hour.

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There are 30 students going on a field trip. Each car can take 4 students. Which inequality would be used to find the least number of cars needed?

Please Help! I'll give Brainliest!

Answers

Answer:8 cars

Step-by-step explanation:

to find the least amount of cars dived 30/4 which equilds 7.5

Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.

suppose a hand of four cards is drawn from a STANDARD DECK of playing cards with replacement , determine the probability of exactly one card is jack:

Answers

Therefore, the probability of exactly one card being jack when a hand of four cards is drawn from a standard deck of playing cards with replacement is 0.073 or 7.3%.

Suppose a hand of four cards is drawn from a standard deck of playing cards with replacement, the probability of exactly one card being jack can be determined using the following steps:Step 1: Determine the total number of possible outcomes when four cards are drawn from a standard deck of 52 cards with replacement. The total number of possible outcomes = 52 × 52 × 52 × 52 = 7,311,616.Step 2: Determine the total number of ways in which exactly one card can be a jack. There are four jacks in a standard deck of 52 cards, so the total number of ways in which exactly one card can be a jack = 4 × 48 × 48 × 48 = 53,333,632.Step 3: Determine the probability of exactly one card being jack. Probability of exactly one card being jack = Total number of ways in which exactly one card can be a jack / Total number of possible outcomes= 53,333,632/ 7,311,616 = 7.28 ≈ 0.073 or 7.3%.Therefore, the probability of exactly one card being jack when a hand of four cards is drawn from a standard deck of playing cards with replacement is 0.073 or 7.3%.

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In the figure shown, what is the measure of the indicated angle?

Answers

Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60

Answer; 120

Why? because all triangles equal 180, so 70+50= 120 and 180-120= 60, all straight lines are 180 and 180-60= 120

Slove the system of the linear equations by either sus substitution or elimination 8x-12y=20 4x-4y=-4

Answers

Answer:

x = -8 and y = -7

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

8x−12y=20;4x−4y=−4

Step: Solve8x−12y=20for x:

8x−12y+12y=20+12y(Add 12y to both sides)

8x=12y+20

8x

8

=

12y+20

8

(Divide both sides by 8)

x=

3

2

y+

5

2

Step: Substitute

3

2

y+

5

2

forxin4x−4y=−4:

4x−4y=−4

4(

3

2

y+

5

2

)−4y=−4

2y+10=−4(Simplify both sides of the equation)

2y+10+−10=−4+−10(Add -10 to both sides)

2y=−14

2y

2

=

−14

2

(Divide both sides by 2)

y=−7

Step: Substitute−7foryinx=

3

2

y+

5

2

:

x=

3

2

y+

5

2

x=

3

2

(−7)+

5

2

x=−8(Simplify both sides of the equation)

The first one is 2x - 3y - 5 = 0
The second one is x - y + 1 = 0

The slope intercept form of these would be

The first one is y = 2/3x -5/3
The second one is y = x + 1

Pls help this is sooOOOOOOO annoying!!
(07.06)Number line with closed circle on 9 and shading to the left.

Which of the following inequalities best represents the graph above?

a > 9
a < 9
a ≤ 9
a ≥ 9

Answers

Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right

A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 students from this school was selected, and the mean math SAT score was 544. Is the high school justified in its claim? Explain since it within the range of a usual event, namely within of the mean of the because the score) sample means (Round to two decimal places as needed)

Answers

The school is not justified to make this claim because of the reasons defined.

The following is a statement that might be made about the high school to justify its claim No, because the z-score of Z = 1.06 is not uncommon because it does not fall within the range of a typical event, namely within 2 standard deviations of the sample mean.

It has been given to us that:

μ = 511

σ = 119

Sample size (n) = 55

and

s = 119 / √55

= 16.046

As we all know,

Only when z > 2 then, the high school's allegation is valid and warranted.

To locate,

Z's value is

So,

Z = ( X - μ )/σ

by applying the Central Limit Theorem to the values,

z = ( 528 - 511 ) / 16.046

= 1.06

Since, z < 2, as a result, the allegation is unjustified.

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Correct question:

The average math SAT score is 511 with a standard deviation of 119. A particular high school claims that its students have unusually high math SAT scores. A random sample of 55 students from this school was​ selected, and the mean math SAT score was 528. Is the high school justified in its​ claim? Explain. ▼ No Yes ​, because the​ z-score ​( nothing​) is ▼ unusual not unusual since it ▼ does not lie lies within the range of a usual​ event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means. ​(Round to two decimal places as​ needed.)

What is the volume of the cylinder above?

A. 168 units^3
B. 96 units^3
C. 84 units^3
D. 112 units^3

Answers

The volume of the oblique cylinder is calculated as: B. 96π units³.

What is the Volume of a Cylinder?

Volume = πr²h, where h is the height and r is the radius of the given cylinder.

Given the following:

Radius = 4 unitsHeight = 6 units

Volume = πr²h = π(4²)(6)

Volume = 96π units³ (option B)

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The product of three consecutive non-zero integers is taken. Which statement must be true?

Select one:

O A. The third consecutive integer must be even,

B. The product must be odd,

C. Two of the three integers must be even.

D. The product must be even.

E. Two of the three integers must be odd.

©

Answers

Answer:

d

Step-by-step explanation:

integer is a whole number

imagine the sum of the first set of 3 integers = 4 + 5 + 6

product = 4 x 5 x 6 = 120

imagine the sum of the 2nd set of 3 integers = 6 + 7 + 8 = 21

6 x 7 x 8 = 3364

Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8

Answers

It would be 1. You add all the temperatures. Get the sum and divide it by the amount of temperatures.

Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Answers

Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Step-by-step explanation:  

250 + $7,289 + $1,275 = 8814




The probability of event A is Pr(A)=1/3 The probability of the union of event A and event B, namely A UB, is Pr(AUB)=5/6 Suppose that event A and event B are disjoint. Pr(B) = [....]

Answers

Given that the probability of event A is Pr(A) = 1/3 and the probability of the union of event A and event B, namely AUB, is Pr(AUB) = 5/6. The probability of event B is Pr(B) = 2/3.

Suppose that event A and event B are disjoint.

The probability of event B is Pr(B) = 1/2.

To find the probability of event B.

For disjoint events A and B, we know that A ∩ B = Φ (empty set).

Thus, we can express the union of A and B as: AUB = A + B, where A and B are disjoint.

In general, the probability of the union of two events can be expressed as: P(AUB) = P(A) + P(B) - P(A ∩ B).

For disjoint events, the intersection of the events is always an empty set.

Thus, P(A ∩ B) = 0.

Using this information, we can write:

P(AUB) = P(A) + P(B) - P(A ∩ B)

= P(A) + P(B) - 0

= P(A) + P(B)

Given P(A) = 1/3 and P(AUB) = 5/6, we can solve for P(B) as follows:

5/6 = P(A) + P(B)

=> P(B) = 5/6 - P(A)

=> P(B)  = 5/6 - 1/3

=> P(B)  = 2/3

Thus, the probability of event B is Pr(B) = 2/3.

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The elephants at the Putnam Zoo are fed 9 1/2 barrels of corn each day. The buffalo are fed 1/2 as much corn as the elephants. How many barrels of corn are the buffalo fed each day?

Answers

The elephants at the Putnam Zoo are fed 9 1/2 barrels of corn each day. The buffalo are fed 1/2 as much corn as the elephants.
*7/20

Answer:

7/20

Step-by-step explanation:

Let p be a real number with 0 < p < 1, and n an integer which is greater than or equal to one. Recall that a binomial random variable X is one for which Prob(X = k): = (*) p* (1 k (1 − p)n-k for k = 0,1, n, and Prob(X x) for any x other than one of these n+1 = possible values.
a. In the case n 3 and p = 3/4, compute E(X) and Var(X).
b. Using (a) as a model case, compute E(X) and Var(X) for any value of p and n. (Hint: Write the formula from the binomial theorem and use differentiation.)
c. What is the value of p such that Var(X) is the smallest?
d. For any t > 0, compute E(etx). (Hint: Use the binomial theorem.)

Answers

The expected value E(X) of a binomial random variable X can be calculated as n * p, and the variance Var(X) can be calculated as n * p * (1 - p). These formulas can be generalized for any values of p and n, and the value of p that minimizes the variance can be found by setting the derivative of Var(X) with respect to p equal to zero.

a. In part (a), we are given specific values for n (3) and p (3/4). The expected value E(X) of a binomial random variable X can be calculated as n * p, which gives us:

3 * 3/4

= 2.25.

The variance Var(X) can be calculated as n * p * (1 - p), which gives us:

3 * 3/4 * (1 - 3/4)

= 0.5625.

b. In part (b), we generalize the calculation of E(X) and Var(X) for any value of p and n. Using the binomial theorem, we can expand (p + (1 - p))ⁿ and differentiate it to find the coefficients for E(X) and Var(X).

c. To find the value of p that minimizes the variance Var(X), we can take the derivative of Var(X) with respect to p binomial, set it equal to zero, and solve for p. This will give us the value of p that minimizes the variance.

d. For any t > 0, we can calculate E(e^(tx)) using the binomial theorem by substituting e^t for p in the expansion of (p + (1 - p))ⁿ. This will give us the expected value of the exponential of tx.

Therefore, the expected value E(X) of a binomial random variable X can be calculated as n * p, and the variance Var(X) can be calculated as n * p * (1 - p). These formulas can be generalized for any values of p and n, and the value of p that minimizes the variance can be found by setting the derivative of Var(X) with respect to p equal to zero.

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Write 3^4 in expanded form. (3^4 means 3 raised to the fourth power.)

A: 3x3
B :3x3x3
C: 3x3x3x3
D: 3x3x3x3x3

Answers

Answer:

c because 3.3.3.3 is 3 to the 4th power expanded

Consider the system of equations shown below 2x₁ + 3x₂ + 3x3 = 20 3x₁ +5x₂ + 2x3 = 9 -x₁ + 3x₂ + 5x3 = 4. What is the coefficient matrix for this system of equations?

Answers

The coefficient matrix is a square matrix with dimensions equal to the number of variables in the system of equations.

The coefficient matrix is a matrix of the coefficients of the variables in a system of linear equations.

Now, we arrange these coefficients in a matrix format by placing them row-wise. This gives us the coefficient matrix:

[tex]2x + 3y + 3x3 = 20[/tex]

[tex]3x + 5y + 2x3 = 9[/tex]

[tex]-x + 3y + 5x3 = 4[/tex]

Each row of the coefficient matrix corresponds to an equation in the system, and each column represents the coefficients of a specific variable (x₁, x₂, x₃).

In summary, the coefficient matrix for the given system of equations is:

[tex]| 2 3 3 |[/tex]

[tex]| 3 5 2 |[/tex]

[tex]|-1 3 5 |[/tex]

This matrix provides a compact representation of the coefficients in the system, which can be further used for various operations and calculations.

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What is the slope of the line connecting the pair of points (0,7) (4,12)

Answers

Answer: 5/4

Step-by-step explanation: That should be right because I have big brain. Mark brainlist please :)

What is the slope of a line perpendicular to the line y=2/3 x + 3 ( just find the slope)

Answers

the slope would be 3/2

I take out a 4,000 loan. It's a simple interest loan. Find the interest I get after 4 years at a rate of 6%

Answers

Answer:

960

Step-by-step explanation:

Let P, R and T denote principal amount, rate of interest and time period.

Principal amount of loan (P) = 4,000

Time period (T) = 4 years

Rate of interest (R) = 6%

Simple interest is calculated using the following formula:

Simple interest [tex]=\frac{4000(4)(6)}{100} =960[/tex]

So,

Simple interest is equal to 960

At a certain university, the average cost of books was $330 per
student last semester and the population standard deviation was $75. This
semester a sample of 50 students revealed an average cost of books of $365 per
student. The Dean of Students believes that the costs are greater this semester.
What is the test value for this hypothesis?

Answers

The test value for this hypothesis is 3.0.

What is the test value for the hypothesis that the average cost of books is greater this semester at a certain university?

The test value for this hypothesis can be calculated using the formula for a one-sample t-test:

test value = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Population mean (last semester) = $330Sample mean (this semester) = $365Sample size = 50Population standard deviation = $75

Calculating the test value:

test value = ($365 - $330) / ($75 / sqrt(50))

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Phil has 5 times as many toy race cars as Richard has. Phil has 425 toy race cars. How many race cars does Richard have? *

Answers

Answer:

85

Step-by-step explanation:

425 divided by 8= 85

Answer:

He as 85 race cars.

Step-by-step explanation:

Just divide 425 by 5 and you have your answer.

Consider the curve defined by 2x2+3y2−4xy=36 .
(a) Show that ⅆyⅆx=2y−2x3y−2x .
(b) Find the slope of the line tangent to the curve at each point on the curve where x=6
(c) Find the positive value of x at which the curve has a vertical tangent line. Show the work that leads to your answer.

Answers

(a) `dy/dx = (2y - 2x)/(3y - 2x)`.

(b) The slope of the tangent line at points where x = 6 is 0.

(c) the curve has a vertical tangent line when x = (3/2)y.

(a) To show that `dy/dx = (2y - 2x)/(3y - 2x)`, we need to find the derivative of `y` with respect to `x`. We can do this by implicitly differentiating the given equation.

Differentiating both sides of the equation with respect to `x`, we get:

4x(dx/dx) + 6y(dy/dx) - 4[(dx/dx)y + x(dy/dx)] = 0

Simplifying the equation, we have:

4x + 6y(dy/dx) - 4xy - 4xy - 4x(dy/dx) = 0

Rearranging the terms and combining like terms, we get:

(6y - 4x)(dy/dx) = 8x - 8xy

Dividing both sides by (6y - 4x), we obtain:

dy/dx = (8x - 8xy)/(6y - 4x)

Simplifying further, we have:

dy/dx = (2x(4 - 4y))/(2(3y - 2x))

Canceling out the common factors, we get:

dy/dx = (2y - 2x)/(3y - 2x)

Therefore, `dy/dx = (2y - 2x)/(3y - 2x)`.

(b) To find the slope of the tangent line at the points where x = 6, substitute x = 6 into the expression we found for `dy/dx` in part (a):

dy/dx = (2(6) - 2(6))/(3y - 2(6))

      = 0/(3y - 12)

      = 0

The slope of the tangent line at points where x = 6 is 0.

(c) To find the value of x at which the curve has a vertical tangent line, we need to find the point(s) where the slope `dy/dx` is undefined. In other words, we need to find the values of x where the denominator of `dy/dx` becomes zero.

Setting the denominator equal to zero and solving for x:

3y - 2x = 0

2x = 3y

x = (3/2)y

So, the curve has a vertical tangent line when x = (3/2)y.

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Find the slope of the line?

Answers

Answer:

m=3/4

Step-by-step explanation:

First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).

And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].

1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)

2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4

3. As a result, the slope of the line is 3/4

here are the options



∠2and∠4



∠1and∠5



∠3and∠6

Answers

Answer:

∠1and∠5

Step-by-step explanation:

Hello There!

The image shown below shows an example of what corresponding angles look like

Properties of corresponding angles

Must be on the same side of the transversalMust be congruent

angles 2 and 4 are on the same side of the transversal however they are supplementary angles not congruent

angles 2 and 4 are an example of adjacent angles therefore this is not the answer

angles 1 and 5 are on the same side of the transversal and they are most definitely congruent

This might be our answer but lets check the last answer just to be sure

Angles 3 and 6 are congruent but they are not on the same side of the transversal

angles 3 and 6 are an example of alternate interior angles therefore this is not the correct answer

So we can conclude that angles 1 and 5 are corresponding angles

Other Questions
TRUE OR FALSE1. Rent expense is an example of a permanent difference.2. When a loss is carried back and applied to previous years'taxable income, the result will be a refund of taxes paid in thaty What Is a result of the Commercial Revolution?A:The decline of Europe's populationB:The transfer of power from Germany to SpainC:The development of new businesses and new business methodsD:The end of colonization in the 1600s This is a grade 12 college levelmath course and this is a Morgages, Budget, and Annuities unittest12 5 Knowledge: 1. Identify whether each of the following statements is TRUE or FALSE. Circle the correct answer. [5 marks] TRUE FALSE a) Conventional mortgages require mortgage insurance TRUE FALSE b A systems of the form 2 A2+ fit the flat 2 5 and the particular solution to the system is - (1) The general solution to the systems (1) If the initial value of the system is FC) - IVP find the solution to the (d) Consider the system of equations = -2012 Iz = -1 - (0) The system has a repeated eigenvalue of -1, and f = -1 is one solution to the system. Use the given eigenvector to find the second linearly independent solution to the system. Find the general solution of the following differential equation 2xdx 2ydy = x^2ydy 2xy^2dx. A sample has a mean of 500 and standard deviation of 100. Compute the z score for particular observations of 500 and 400 and interpret what these two z values tell us about the variability of the observations. Compute z score for the observation of 500. Interpret the results Compute z score for the observation 400 and explain the result. ______ include cooperative and helpful acts toward others that support the organization's social and psychological context. A $500,000 bond is retired at 101% when the unamortized premium is $4,500. Which of the following is one effect of recording the retirement?OA $1,750 lossOA $6,250 gainOA $6,250 lossOA$10.806 loss What is the standard form equation of an ellipse that has vertices (-2, 14) and (-2,-12) and foci (-2,9) and (-2,-7)? An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 4%, on A bonds 5%, and on 8 bonds 8%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment is $17,000, and the investor wants an annual return of $890 on the three investments? The client should invest $ in AAA bonds, $ in A bonds, and in B bonds. design a personal ad for victor frankenstein highlighting his byronic hero qualities treatment of cobalt(ii) oxide with oxygen at high temperatures gives . write a balanced chemical equation for this reaction. what is the oxidation state of cobalt in ? Large flower is dominant to small flower in tulips. If two heterozygous flowers are cross pollinated what percentage of the offspring will be homozygous for large flowers? which vitamin coenzme in cell respiration and is important in alchol fermentation A Water Tank on Mars 5 of 12 Review Part A You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars where the acceleration due to gravity is 3.71 m/s The pressure at the surface of the water will be 120 kPa, and the depth of the water will be 13.7 m The pressure of the air outside the tank, which is elevated above the ground, will be 92.0 kPa. Find the net downward force on the tank's flat bottom, of area 1.85 m2, exerted by the water and air inside the tank and the air outside the tank. Assume that the density of water is 1.00 g/cm3 Express your answer in newtons. Which is the right relationship of calories and physical activity according to the Dietary Guidelines For Americans?- eating fewer calories balances more activity - eating more calories balances more activity-eating more calories balances less activity -eating fewer calories balances no activity Given a reference DNA sequence and a sequencing read (output from a DNA sequencer), do you think you can use exact string match to find matches for the read in the reference sequence? What biological or technical reasons will make this approach inappropriate? Wham Corporation has 100 shares of common stock outstanding. Twenty-five shares are owned by Grandfather, 20 shares are owned by Mother (Grandfathers Daughter), 15 shares are owned by Mothers Daughter, 10 shares are owned by Mothers adopted Son, and the remaining 30 shares are owned by Grandmothers estate, of which Mother is a 50% beneficiary. One of Mothers cousins is the other beneficiary of the estate. Mother also has an option to purchase 5 of Sons shares. How much Wham stock do Grandfather, Mothers Daughter and Grandmothers estate own after application of 318? which of the following is not a function of the hvac system? robert is risk averse and has 1000 with which to make a finacnial investment he has three options