A conical water tank has a radius of 6 feet and a depth of 24 feet. What is the capacity of the tank? (use π = 3.14)

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.

Answer:

QR

Step-by-step explanation:

The question is just trying to see if you can read the order of the lines.

PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ

Answer

YZ is the second and third letters of xyz.

QR are the 2nd and 3rd letters of PQR

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

Answer:

[tex] \frac{dy}{dx} = - 1 \frac{5}{9} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ [tex]\frac{1}{x} = x^{ - 1} [/tex]

Answer:

no, h=7

Step-by-step explanation:

9+9h = 10h+2

9=h+2

7=h

For this case we have the following system of equations:

We multiply the second equation by -3:

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

Answer:

I think it is 1

Step-by-step explanation:

I am sorry if it is not correct

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

-0.9, -4/5, -7/10, -1/2, -1/4

Answer:

The answer is -0.9, -4/5, -7/10, -1/2, -1/4.

Step-by-step explanation:

-4/5 = -0.80

-7/10 = -0.7

-1/2 = -0.5

-1/4 = -0.25

x=12

hope this helps :))

Answer:

x = 12

Step-by-step explanation:

subtract 12 from the 26 and you get 14 so x = 12

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

Answer:

4+12x

Step-by-step explanation:

basically just adding and subtracting

The expression which is equivalent to -6((-2/3) + 2x) is; 4 - 12x.

The given expression is;

Hence, upon expansion and elimination of the parenthesis;.

Hence, the equivalent expression is; 4 - 12x.

Read more on equivalent expressions;

https://brainly.com/question/11258067

Answer:

I think m is the length of ABCD Square

Answer:

True

Step-by-step explanation:

opposite is irrational number

Answer:

$169803

Step-by-step explanation:

Given data

rate of decrease = 5.4%

time = 2009-2021= 12years

P=  $331,000

Let us apply the compound interest formula

A=P(1-r)^t----------------note the minus sign because this is a decrease

A= 331000(1-0.054)^12

A= 331000(0.946)^12

A= 331000*0.513

A=$169803

Hence the value in 2021 is $169803

Answer: Number equals 7

Step-by-step explanation:

4x+3x=5x+14

7x=5x+14

-5x  -5x

2x=14

x=7

Answer:

4 12/18, simplified is 4 6/9

Step-by-step explanation:

You change the fractions to improper fractions so 10 1/2 to 21/2 and 2 1/4 to 9/4. Since we can't divide, we change 9/4 to 4/9 and multiply. 21 times 4 is 84 and 2 times 9  is 18.  Since that is an improper fraction, we have to change it to a mixed number. 18 can go into 84 4 times, and 18 x 4 is 72. 84 minus 72 is 12 so the final answer is 4 12/18 (simplified 4 6/9)

Hope this helps :)

Answer:

increasing

Step-by-step explanation:

its increasing because it goes back up at a fast rate

Yes.

8/16 is 1/2 of 16/16

Answer:

15.18

Step-by-step explanation:

Divide $83.49 by 5.5

Answer:

$15.18 a day

Step-by-step explanation:Divide $83.49 by 5.5. You get 15.18. To check this, multiply 5.5 and 15.18 and you should get 83.49. Hope this helped

Answer:

Step-by-step explanation:

cos o = adjacent side /hypothenuse = OQ / PO

Answer:

b

Step-by-step explanation:

.....

Answer:

1/6 of the movie

Step-by-step explanation: