A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answer:

i did it to its C

Step-by-step explanation:

mark me pls

Answer:

D

Step-by-step explanation:

use Pythagoreans theorem to solve (a^2+b^2=c)

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer:

13

Step-by-step explanation:

Vickie must sell at least 64 cupcakes in order to make a profit.

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Answer:

An easy way to tell with a number like this is that both numbers are round, so they can both be divided by 2

Step-by-step explanation:

You can tell that it is not simplified if they are both even, as they can be divided by 2, or really, if both numbers have a common factor as a divisor.

For example, 3/6 has a common of factor by 3, 3/3 / 3/6 = 1/2.

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

Answer:

12$ per Month

Step-by-step explanation:

Starting from 0, she has 36$

On the 2 month she has 60$, however we are looking for the monthly rate.

60$- 36$ = 24$

24$/2

= 12$

Answer:

12

Step-by-step explanation:

Answer:

2090.318 square metres

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

The amount of money

Step-by-step explanation:

The amount of money depends on how many chores you do. The dependent variable is the money, and the independent variable is the amount of chores.

Answer:

opposite side are congruent

opposite sides are parallel

opposite sides are congruent

diagonals are perpendicular

Step-by-step explanation:

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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There will be a rise in false positives and a fall in false negatives.This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model.

When the cut-off value is increased, the False Positives will increase, meaning that more observations will be incorrectly classified as positives. The False Negatives will decrease, meaning that fewer observations will be incorrectly classified as negatives. At the same time, the True Positives and True Negatives will remain unchanged, as long as the variables in the fitted logistic regression model remain the same.When the cut-off value is increased, the logistic regression model will be more stringent in its classification of observations. This means that the model will classify more observations as false positives (incorrectly classifying them as positives) and fewer as false negatives (incorrectly classifying them as negatives). On the other hand, the model will not be affected by the change in cut-off value when it comes to true positives and true negatives. This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model, which remain unchanged when the cut-off value is changed.

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Answer:hi there

Step-by-step explanation:

Answer:

1515

Step-by-step explanation:

20+15+12=47

4747/47=101

15x101=1515

Answer:

the answer to the first question is the first one and the second answer might be the second one

Hello !

1. A quadratic equation results in the form: ax² + bx + c

2. Calculate the discriminant: Δ = b² - 4ac

3. Calculate x with the dicriminant: (-b ± √Δ) / 2a

Example:

3x² + 7x - 2 = 0 is a quadratic equation.

x = (-b ± √(b² - 4ac)) / 2a

= (-7 ± √(7² - 4*3*(-2))) / (2*3)

= (-7 ± √73)/6

The probability that the sample proportion of the Republicans will differ from the population by more than 4% is 95.56%

The probability is calculated using z score, this is used to determine the amount of difference a sample, X is from the standard deviation

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

population mean, μ  = p = 50% = 0.5

sample size, n = 629

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.50(1 - 0.50)) / 629}

= √{(0.50 * 0.50) / 629}

= 0.0199

Differ by more than 4% is differ by 50% + 4%

X = 50% + 4% = 54% = 0.54

The probability of more than 54% P = P(p > 54%) = P(p > 0.54)

P(p > 0.54) = 1 - P(p < 0.54)

Z score for z < 0.54

z = (X - μ) / σ

= (0.54 - 0.50) / 0.0199

= 2.01

p value for z < 2.01 = 0.0444

P(p > 0.54) = 1 - P(p < 0.54)

= 1 - 0.0444

= 0.9556

= 95.56%

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Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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given r = 76 feet

Then convert from revolutions per minute to degrees per second.

We know that the wheel rotates once every two minutes, so in 120 seconds he makes one rotation. A full rotation has 360°, so you can set the conversion factor.

degrees/second

Next find the height.

At t=0, we know that the rider is at the lowest point of the bike. The wheel is two feet off the ground, so t=0 h=2. To find the top t, use the fact that the wheel rotates 180° from bottom to top, rotating 3° every second.

Note that the top height is equal to the diameter of the wheel plus its height above the ground. So h = 152 + 2 = 157 feet.

To model the situation, we use the cosine function, but note that this is for 1 and -1. We want the opposite, so we use the negative cosine.

Remember to use it when you need it. Then multiply the cosine by the radius of the wheel.

, and finally add the sum of the wheel radius and height above the ground.

h=110+2-110cos(3t)

h=112-110cos(3t)

Now that we have a height function, we can confirm that everything is working.

The passenger is at the lowest point at t=0. We also know that the lowest point is 2 feet above the ground, so we evaluate the function at t = 0.

h=112-110cos(3t)

h=112-110cos(3×0)

h = 112 feet

So far, so good.

We also know that at t=60 the passenger is 112 feet off the ground, so let's evaluate the function at t=60 and see if we agree.

h=112-110cos(3t)

h=112-110cos(3×60)

h=112-110cos(180)

h=112+110

h = 222 feet

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Answer:

\(y=x^2+18x+79\)

\(y=(x+9)^2-2\)

Step-by-step explanation:

We want to find a function of the form:

\(y=ax^2+bx+c\)

We know that it passes through the three points: (-11, 2); (-9, -2); and (-5,14).

In other words, if we substitute -11 for x, we should get 2 for y. So:

\((2)=a(-11)^2+b(-11)+c\)

Simplify:

\(2=121a-11b+c\)

We will do it to the two other points as well. So, for (-9, -2):

\(\begin{aligned}(-2)&=a(-9)^2+b(-9)+c\\\Rightarrow-2&=81a-9b+c\end{aligned}\)

And similarly:

\(\begin{aligned}(14)&=a(-5)^2+b(-5)+c\\\Rightarrow 14&=25a-5b+c\end{aligned}\)

So, to find our function, we will need to determine the values of a, b, and c.

We essentially have a triple system of equations:

\(\begin{cases}2=121a-11b+c\\-2=81a-9b+c\\14=25a-5b+c\end{cases}\)

To approach this, we can first whittle it down only using two variables.

So, let's use the First and Second Equation. Let's remove the variable b. To do so, we can use elimination. We can multiply the First Equation by 9 and the Second Equation by -11. This will yield:

\(\begin{cases}{\begin{aligned}9(2)&=9(121a-11b+c)\\-11(-2)&=-11(81a-9b+c)\end{cases}}\)

Distribute:

\(\begin{cases}18=1089a-99b+9c\\22=-891a+99b-11c\end{cases}\)

Now, we can add the two equations together:

\((18+22)=(1089a-891a)+(-99b+99b)+(9c-11c)\)

Simplify:

\(40=198a-2c\)

Now, let's do the same using the First and Third Equations. We want to cancel the variable b. So, let's multiply the First Equation by 5 and the Third Equation by -11. So:

\(\begin{cases}{\begin{aligned}5(2)=5(121a-11b+c)\\-11(14)=-11(25a-5b+c)\end{cases}\)

Simplify:

\(\begin{cases}10=605a-55b+5c\\-154=-275a+55b-11c\end{cases}\)

Now, let's add the two equations together:

\((10-154)=(605a-275a)+(-55b+55b)+(5c-11c)\)

Simplify:

\(-144=330a-6c\)

Therefore, we now have the two equations:

\(\begin{cases}40=198a-2c\\-144=330a-6c\end\)

Let's cancel the c. So, multiply the First Equation by -3. We don't have to do anything special to the second. So:

\(-3(40)=-3(198a-2c)\)

Multiply:

\(-120=-594a+6c\)

Now, add it to the Second Equation:

\((-120+-144)=(-594a+330a)+(6c-6c)\)

Add:

\(-264=-264a\)

Divide both sides by -264. So, the value of a is:

\(a=1\)

Now, we can use either of the two equations above to obtain c. Let's use the first one. So:

\(40=198a-2c\)

Substitute 1 for a:

\(40=198(1)-2c\)

Solve for c. Subtract 198 from both sides and divide by -2:

\(\begin{aligned}40&=198-2c\\ -158&=-2c \\79 &=c \end{aligned}\)

So, the value of c is 79.

Finally, we can find b. We can use any of the three original equations. Let's use the First Equation. So:

\(2=121a-11b+c\)

Substitute 1 for a and 79 for c and determine the value of b:

\(\begin{aligned}2&=121(1)-11b+(79)\\2&=121+79-11b\\2&=200-11b\\-198&=-11b\\18&=b\end{cases}\)

Therefore, the value of b is 18.

So, our equation is:

\(y=ax^2+bx+c\)

Substitute in the values:

\(y=(1)x^2+(18)x+(79)\)

Simplify:

\(y=x^2+18x+79\)

Now, let's put this into vertex form. To do so, we will need to complete the square. First, let's group the first two terms together:

\(y=(x^2+18x)+79\)

To complete the square, we will divide the b term by 2 and then square it.

b is 18. 18/2 is 9 and 9² is 81. Therefore, we will add 81 into our parentheses:

\(y=(x^2+18x+81)+79\)

Since we added 81, we must also subtract 81. So:

\(y=(x^2+18x+81)+79-81\)

Subtract:

\(y=(x^2+18x+81)-2\)

The grouped terms are a perfect square trinomial. Factor:

\(y=(x+9)^2-2\)

And this is in vertex form.

And we are done!

The program that would be run in the MARIE Simulator to get the desired output is given below:

The MARIE Program with the given requirements is as follows

ORG 33610

InputStore ID_LAST_DIGIT

Load ID_LAST_DIGIT

Loop:

 Output

 Add ONEStore ID_LAST_DIGIT

  Load ID_LAST_DIGIT

  Subt TEN

Skipcond

800Jump

Loop:

 HaltI

 D_LAST_DIGIT:

 DEC 0ONE:

 DEC 1TEN:

 DEC 10

END

The program starts at 33610.

Input your last university ID digit (e.g., 5)

The program will show numbers from the input to 10.

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Answer:

Step-by-step explanation:

16>-2x

-2x<16

x>-8

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.

To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:

1. Bank Statement Balance:

Cash on deposit at July 31: Br.4,964.47

2. Adjusted Bank Balance:

Bank Statement Balance: Br.4,964.47

3. Deposit not on the statement: + Br.410.90

(Adjusted Bank Balance: Br.5,375.37)

Erroneously charged check: + Br.79

(Adjusted Bank Balance: Br.5,454.37)

Outstanding checks:

Check 801: - Br.100.00

Check 888: - Br.10.25

Check 890: - Br.294.50

Check 891: - Br.205.00

(Adjusted Bank Balance: Br.4,844.62)

4. Incorrectly charged check: + Br.90

(Adjusted Bank Balance: Br.4,934.62)

5. Collection of interest-bearing note: + Br.500

(Adjusted Bank Balance: Br.5,434.62)

6. Interest earned: + Br.24.75

(Adjusted Bank Balance: Br.5,459.37)

7. Incorrectly recorded check: - Br.90

(Adjusted Bank Balance: Br.5,369.37)

8. Collection fee: - Br.5.00

(Adjusted Bank Balance: Br.5,364.37)

9. NSF check: - Br.50.25

(Adjusted Bank Balance: Br.5,314.12)

10. Service charge: - Br.12.70

(Adjusted Bank Balance: Br.5,301.42)

Adjusted Ledger Balance:

Bank Balance in ABC's Ledger: Br.4,173.83

Reconciled Bank Balance: Br.5,301.42

Reconciled Ledger Balance: Br.4,173.83

Journal Entry:

To record the bank reconciliation, we make the following journal entry:

Debit: Cash (Ledger Balance adjustment) - Br.5,301.42

Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47

Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)

This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.

The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.

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The X-Cordinate is 4

Answer:

K.E = 1/2mv²

Kinetic energy