a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

Answer:

B

Step-by-step explanation:

both simplify into 4:5

Answer:

Step-by-step explanation:

B

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]

Answer:

C(90) = 15.35

Step-by-step explanation:

Given the function, C(n) = 0.06n + 9.95:

where C = total cost of texting plan

n = number of texts sent in a month

9.95 = flat fee

To find C(90):

Substitute 90 as the input, n,  for the function:

C(90) = 0.06n + 9.95

C(90) = 0.06(90) + 9.95

C(90) = 5.40 + 9.95

C(90) = 15.35

C(90) represents the cost of sending 90 texts in a month is $15.35.

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Answer:

A.   $47,143

Step-by-step explanation:

Given information:

Gross income: Total income before any deductions.

If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.

Let x = annual gross income

Therefore:

70% of x = $33,000

⇒ 0.7x = 33000

⇒ x = 33000 ÷ 0.7

⇒ x = 47142.8571...

Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.

Annual gross income be y

Option A

Answer:

The answer would be W < - 18

Answer:

- 14

Step-by-step explanation:

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

The value of x in this equation will be; x = -14

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 4x + 6 = - 62

Here, we need to solve for x

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

Therefore, the solution will be as;

x = -14,

The value of x in this equation will be; x = 14

Learn more about equations here;

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Answer: Rs. 69

Step-by-step explanation:

Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.

Step 1:

According to the question, we get

Equation 1:

6x + 4y = 228  

Equation 2:

13x + 7y = 459  

Step 2:

Then, by multiplying equation 1 by 7 & equation 2 by 4, we get

7 * [6x + 4y = 228]

⇒ 42x + 28y = 1596 …. (iii)  

And,

4 * [13x + 7y = 459]

⇒ 52x + 28y = 1836 …. (iv)

Step 3:

Now, Subtracting eq. (iii) from eq. (iv), we get

52x + 28y = 1836

42x + 28y = 1596

(-)    (-)         (-)

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

10 x = 240

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

⇒ x = 240/10 = 24

Substituting the value of x in Eq. (1)

(6*24) + 4y = 228  

⇒ y = [228 - 144]/4 = 21

Step 4:

Thus,  

The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,

= 2x + y

= (2*24) + 21 ….. [substituting x= 24 & y = 21]

= Rs. 69

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

11.99

Step-by-step explanation:

answer:

m/s --- km/h = [tex]\frac{1000}{3600}[/tex]

km/h= [tex]\frac{5}{18}[/tex]

6m/s= [tex]\frac{6*5}{18}[/tex]

6m/s= 1.66 km/h

The speed of the bicycle in km/h is 21.6 km/h.

Given that;

A bicycle has a speed of 6 m/s.

Since we know that;

1 km = 1000 m

And, 1 hour = 3600 s

Hence change the speed of the bicycle in km/h as;

[tex]Speed = 6 m/s[/tex]

It can be equal to;

[tex]Speed = \dfrac{6 \times \dfrac{1}{1000} km }{\dfrac{1}{3600} seconds }[/tex]

[tex]Speed = 21.6 km/s[/tex]

Therefore, the speed of the bicycle in km/h is 21.6 km/h.

To learn more about the measurement unit visit:

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Answer:

m = 2/3

Step-by-step explanation:

4y = -6x + 72

y = -3/2x + 18

Negative reciprocal = 2/3

Answer:

70,016

Step-by-step explanation:

PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

for this problem, we have to multiply first!

1) 200 x 350 = 70000

now we have ------> 70,000 + 23 - 7

we just have to work left to right

2) 70,023 - 7

3) 70,016

let me know if you have any other questions!

Answer:

9

Step-by-step explanation:

Answer:

A.) 9

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Given :

A = {1, 2, 3, 4, 7}

B = {2, 4, 8, 10)

A∩B = {2 , 4 }

See the venn diagram in attachment ~

Answer:

(a)

Coordinate A: (0,-3)

Coordinate B: (1,0)

Coordinate C: (5,2)

(b)

1, 5, 6, 7

Answer:

138 I think

Step-by-step explanation:

2,000 - 750 ÷ 9 = 138

Answer:

450g box of cereal for $4.69 is cheaper

Step-by-step explanation:

450/4.69 = 95.9488272921/1

600/6.49 = 92.4499229584/1

Answer:

135

Step-by-step explanation:

Hope it helps!!!!!!!

Answer:

0

Step-by-step explanation:

5 - 0 = 5

2 - 2 = 0

5/0 = 0

Answer:

Step-by-step explanation:

Answer:

a=-13

Step-by-step explanation:

-50=6a+28

isolate the a

-50-6a=28

-6a=28+50

-6a=78

divide both sides by -6

a=-13

Answer:

x = 6

Step-by-step explanation:

because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.

so:

6x + 8 + 5x + 8 = 82

11x + 16 = 82

11x = 66

x = 6

Answer:

1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)

Step-by-step explanation:

a. 4 suits, therefore the probability is 1/4

b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13

c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52

d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.

Answer:

c

Step-by-step explanation:

the slope of x-4y=-2 is 1/4

[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

⇒  p - 6 = 8

          p = 14

∴ the smaller number is 6 and the bigger 14

Answer:

x<0.5

Step-by-step explanation:

Hello lzukuXKachan!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Solve 2(1 – x) > 2x.

x < 2

x < 0.5

x > 0.5

x > 2

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]2 ( 1 - x ) \gt 2 x[/tex]

Firstly, cancel out 2 from both sides of the equation. Now, the equation will be....

[tex]1 - x > x[/tex]

Now, subtract x from both sides.

[tex]1 - x - x > 0[/tex]

Combine -x & -x. It'll be one -2x.

[tex]1-2x>0 [/tex]

Again subtract 1 from both the sides. Remember :- any number subtracted from 0 will result in its negation

So, it'll be -1.

[tex]-2x>-1 [/tex]

Divide both sides by -2.

[tex]x<\frac{-1}{-2} \\ [/tex]

Remove the negative signs. (negative ÷ negative = positive)

[tex]x<\frac{1}{2} \\ = \large\boxed{ \boxed{ \bf \: x < 0.5}}[/tex]

__________________

Hope it'll help you!

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