The diameter of a cylindrical water tank is 13 ft, and its height is 10 A. What is the volume of the tank?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer. Pls help me

Answer:

3

Step-by-step explanation:

subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3

Answer:

a. 1.2

Step-by-step explanation:

b. 0.4

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The useful shortcut* here is that the external angle is equal to the sum of the remote internal angles.

  115° = (4k+5)° +(6k+10)°

  100° = 10k° . . . . . . collect terms, subtract 15°

  k = 10 . . . . . . . . . . divide by 10°

_____

* I call it a shortcut because you can get there from the relations ...

If we call the internal angles X, Y, and Z, then we have ...

  X + Y + Z = 180° . . .  triangle sum relation

  Y + 115° = 180° . . . . . linear pair relation

Equating the expressions for 180° gives ...

  X + Y + Z = Y + 115°

  X + Z = 115° . . . . . . . . . subtract Y from both sides

Answer:

------------------------------

We need to find the distance between line L and point A(6, -1).

To find the distance d between the point and the line, we'll use the point-to-line distance formula, which is given by:

      \(d = \dfrac{ |Ax + By + C| }{\sqrt{A^2 + B^2} }\)

where, A, B, and C are the coefficients of the line Ax + By + C = 0.

For line L, we have the equation y = - x - 2, which can be rewritten as:

The coordinates of point A are x = 6, y = - 1.

Now we can plug these values into the formula:

   \(d = \dfrac{ |1*6 + 1*(-1) + 2| }{\sqrt{1^2 + 1^2} }=\dfrac{|7|}{\sqrt{2} } =\dfrac{7}{\sqrt{2} } =5.0\)

So, the distance between line L and point A(6, -1) is approximately 5.0 units, rounded to the nearest tenth.

Answer:

The probability is 435/6,806

Step-by-step explanation:

Firstly, the total number of coins in the jar is

13 + 15 + 29 + 26 = 83

The probability of selecting a dime is 15/83

Now we want to grab a nickel

Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82

So the probability of selecting a nickel this time is

29/82

So the total probability of the event in the described order is;

15/83 * 29/82

= 435/6,806

Answer:

I got it right on edge 2020/2021

Step-by-step explanation:

m=5

b=-4

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

175

Step-by-step explanation:

The length of z in the triangle is 97 inches.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the side z of the triangle XYZ using sine law as follows:

a / sin A = b / sin B = c / sin C

Hence,

500 / sin 117 = z / sin 10

cross multiply

500 sin 10 = z sin 117

divide both sides by sin 117

z = 500 sin 10  / sin 117

z = 86.8240888335 / 0.89100652418

z = 97.4410774411

Therefore,

z = 97 inches

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Answer:

a

Step-by-step explanation:

0.98/20=0.049

So each fluid ounce is worth 4.9 cents

4.9cents per ounce

Answer:

Kindly check attached picture for sample space design

45 ways

Step-by-step explanation:

Number of qualified candidates to be chosen = 2

Number of candidates to be interviewed = 10

Combination formula :

nCr = n! / (n-r)! r!

10C2 = 10! ÷ (10 - 2)!2!

10C2 = 10*9 / 2 * 1

10C2 = 90/2

10C2 = 45 different samples

Our sample space will contain 45 different samples

Answer:

h(4n) =16n^2+2

Step-by-step explanation:

h(4n) = (4n)^2+2

h(4n) =16n^2+2

Step-by-step explanation:

The final grade is the average of the two semesters.

70 = ½ (60 + x)

x = 80

So Catherine needs a Semester 2 grade of 80%.

The average of RC3 and RC4 is ½ (62 + 53) = 57.5.  This accounts for 90% of the Semester 2 grade.  The other 10% is the Spring final.

80 = 0.90 (57.5) + 0.10 (x)

x = 282.5

Catherine would have to score 282.5% on the Spring final in order to pass.

Answer: 7,640

Step-by-step explanation: Because we know that she flew 2,299 the first year and 3,831 the second, we can add them together to get: 6,130. It says that she flew 1,510 more miles the third year than the first and second combined. Therefore: 6,130 + 1,510 = 7,640

The value of y is 6√3 unit.

Option B is correct.

The Pythagorean theorem, or Pythagorean theorem, illustrates the relationship between the three sides of a right-angled triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

From the given figure using Pythagoras theorem

H² = 6² - 3²

H² = 36 - 9

H²  = 27

H = 3√3 unit

Now, again using Pythagoras theorem

y² = 9² + ( 3√3)²

y² = 81. + 27

y = √108

y = 6√3 unit

Thus, the value of y is 6√3 unit.

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Answer:

Its just 16.

Step-by-step explanation:

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.

Consider the above given that

⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)

⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)

⇒\(H_{a} : \sigma^2 > 0.0004\)

The null and alternative hypothesis test statistic:

⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)

\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)

⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)

\(& =82,500 \times 0.0005 \\\)

⇒\(& \mathrm{x}^2=41.25\)

⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)

⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)

⇒p value=p(z>41.25)

⇒p value=0.1533

By using P Value from Chi-Square Calculator

⇒p value=0.1533

⇒P value >0.05

Fail to reject the null hypothesis.

Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.

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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.

\(H_{0} \\H_{a}\)

Test statistic:

The p-value is-------.

Answer:

where's the question?

Option D : Based on the given table, it can be concluded that the monthly fee at Smart Save Bank is consistently lower than the monthly fee at Money Bags Bank.

The given table shows the monthly fees for the checking accounts at two different banks: Smart Save Bank and Money Bags Bank. The table lists the monthly fees for each bank based on the balance in the checking account. The balance ranges from less than $400 to more than $800.

Upon analyzing the table, we can see that the monthly fee at Smart Save Bank is consistently lower than the monthly fee at Money Bags Bank, regardless of the balance in the checking account. This means that customers at Smart Save Bank will always pay a lower monthly fee than those at Money Bags Bank, regardless of their checking account balance. Therefore, statement D, "The fee at Smart Save Bank will always be the lower monthly fee," is the best-supported statement based on the information provided in the table

Overall, the table provides a clear comparison of the monthly fees for the checking accounts at two different banks and highlights the potential cost savings that customers can achieve by choosing Smart Save Bank over Money Bags Bank.

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When a mass of 3 kg is hanged to it, the string will stretch 7.5 cm.

Given,

The length of the spring attached to the ceiling = 10 cm

The quantity of the mass hanged in the spring = 2 kg

The amount of stretching happened in the spring = 15 cm

We have to find the stretching of string when a mass of 3 kg is hanged to it;

Here,

Given that the force applied to the spring by the 2.0 kg is equal to the mass's weight:

F = mg = 2 kg × 9.8 m/s² = 19.6 N

Additionally, the stretching of:

Δx = 15 cm - 10 cm = 5 cm

So, applying Hooke's law:

F = kΔx

To determine the spring constant, k;

k = F/Δx = 19.6/5 = 3.92  N/ cm

The spring is now coupled to a new mass of m = 3.0 kg; the force this mass exerts on the spring equals

F = mg = 3 kg × 9.8 m/s² = 29.4 N

Thus, we may apply Hooke's law once more to determine the new stretching:

Δx = F/k = 29.4/3.92 = 7.5 cm

Therefore,

The string will be stretched 7.5 cm when a mass of 3 kg is hanged to it.

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Answer:

4xy^2z

assuming those numbers after the first ones are exponents

Step-by-step explanation:

Let smallest number be x,

so largest no would be 2x

other no would be 2x-6

sum = 54= x+2x+2x-6

54= 5x-6

60=5x

60/5=x

12=x

2x= 24, 2x-6=24-6=18

Three numbers are 12, 18, 24

The time Ann finished playing in the backyard is 12 : 15 pm

Total time = 9:38 + 41 minutes + 1 hour 56 minutes

= 10:19 + 1 hour 56 minutes

= 12 : 15 pm

Therefore, the time Ann finished playing in the backyard is 12 : 15 pm

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