hi guys can u help me thank u

Answer:

Approximately [tex]0.0435\; \text{in} \cdot \text{s}^{-1}[/tex]. (Given that [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex].)

Step-by-step explanation:

Let [tex]t[/tex] denote time. Both the volume of water in the bowl, [tex]V[/tex], and the height of water in the bowl, [tex]h[/tex], are dependent on [tex]t\![/tex] (as if the [tex]V\![/tex] and [tex]h[/tex] are functions of [tex]\! t[/tex].)

Implicitly differentiate both sides of the equation [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex] with respect to [tex]\! t[/tex]:

[tex]\displaystyle \frac{d}{d t}[V] = \frac{d}{d t}\left[\pi\, r\, h^{2} - (1/3)\, h^{3}\right][/tex].

[tex]\displaystyle \frac{d V}{d t} = 2\, \pi\, r\, h\, \frac{d h}{d t} + (1/3)\, (3\, h^{2})\, \frac{d h}{d t}[/tex].

Both [tex]h[/tex] (current height of water in the bowl) and [tex](d V) / (d t)[/tex] (rate at which water is poured into the bowl) are given: [tex]h = 2.4\; \text{in}[/tex] and [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex]. The question is asking for [tex](d h) / (d t)[/tex], the rate at which the water level in the bowl is rising.

Thus, rearrange the equation to find an expression for [tex](d h) / (d t)[/tex] in terms of [tex]h[/tex], [tex]r[/tex], and [tex](d V) / (d t)[/tex]. Substitute in the values [tex]h = 2.4\; \text{in}[/tex], [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex], and [tex]r= 8\; \text{in}[/tex]; solve for [tex](d h) / (d t)\![/tex], the rate at which the water level is rising:

[tex]\displaystyle \frac{d V}{d t} = \left(2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})\right)\, \frac{d h}{d t}[/tex].

[tex]\begin{aligned} \frac{d h}{d t} &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})} \\ &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + h^{2}} \\ &= \frac{5\; \text{in}^{3} \cdot \text{s}^{-1}}{2\, \pi \, (8\; \text{in})\, (2.4\; \text{in}) + (2.4\; \text{in})^{2}} \\ &\approx 0.0435\; \text{in} \cdot \text{s}^{-1} \end{aligned}[/tex].

Answer:

80 cookies

Step-by-step explanation:

25% of 64 is 16
16+64=80

Imani made total of 8 cookies.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Imani was assigned to make 64 cookies for the bake sale.

let she made x cookies.

So, x = 64 + 25% of 64

x = 64 + 25/100 (64)

x = 64 + 64/4

x = 64 + 16

x = 80

Hence, the total cookies made is 80.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

65¢

Step-by-step explanation:

3 tons of sand cost $3900

A ton is 2000 pounds

6000 pounds of sand cost $3900

3900/6000 = 0.65

65¢

Step-by-step explanation:

3ton ==> $3,900.00

1ton ===> $3,900.00/3 =$1,300.00

1 ton = 2204.623 pound

1 pound==> $1,300.00 / 2204.623 = $0.59 approx

Answer:

24 is the LCM.

Step-by-step explanation:

6, 12, 18, 24

8, 16, 24

12, 24

Answer:

D is the correct answer.

Step-by-step explanation:

The lines are perpendicular as they go thiugh eachother at the center.

Answer:

4.) D

Step-by-step explanation:

A ( I'm not sure how to explain A )

B is an acute angle

C is a parallel line

D is a perpendicular line

I hope this helps!

Answer:

20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.

Answer:

x = 4

Step-by-step explanation:

For ΔLJK

[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]

[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]

For ΔLMJ

[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]

[tex]LM=4\sqrt{2} *sin45=4[/tex]

x = LM = 4

Answer: Yes

Step-by-step explanation:

∛1728= ∛(2 x 2 x 2) x (2 x 2 x 2) x (3 x 3 x 3)

= 2 x 2 x 3

=12

Answer:

→ Distance run by dean = 6.8 km .

also,

→ Distance run by dean = 2.3 fewer kilometers than Sam.

Let us assume that, distance run by same is s km .

so,

→ Distance run by dean = s - 2.3

therefore,

→ s - 2.3 = 6.8

→ s = 6.8 + 2.3

→ s = 9.1 km .

Hence, The correct equation is s – 2.3 = 6.8

Step-by-step explanation:

Answer:

A and E please brainly

Step-by-step explanation:

Answer:

The rule also means if you want your money to double in 4 years, you need to find an investment that earns 18% per year compounded annually.

Step-by-step explanation:

Answer:your mom

Step-by-step explanation:

Answer:

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Answer:

28 + 16 = 44

Step-by-step explanation:

basically it is like isolating the biggest number (44) by bringing 16 to the right side of the equation. from 44 - 16 = 28 to 44 = 28 + 16 which is the same as 28 + 16 = 44

Answer: Square

Step-by-step explanation:

Answer:

17/12

Step-by-step explanation:

because it 12 the most minimum amounted common multiple of 3 and 4

Answer:

is an example of enequality

Answer:

I = $3000

Step-by-step explanation:

I = PRT/100

P = principle= $5000

R = rate = 6%

T = time ( yrs) = 10 yrs

I = (5000*6*10) / 100

I = $3000

Answer:

64

Step-by-step explanation:

Answer:

a) 5  b) 1  c) 0  d) -4

Explanation:

a) 10[(1/2+1/4) + 2(1/8)] ÷ 2

Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.

First, start off by doing everything in the brackets.

Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.

The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.

Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.

Rewriting the equation, we now have 10(1)÷2

10•1 = 10

10 ÷ 2 = 5

The answer to question a is 5.

b) √(0.6)² + (0.8)²

First, we need to square both terms. Squaring is the same as multiplying the number by itself.

0.6 • 0.6 = 0.36

0.8 • 0.8 = 0.64

Add them together: 0.36 + 0.64 = 1

√1 = 1

The answer to question b is 1.

c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)

Let's start with the first bit: (1/5 - 3/5)

The denominators are the same, so just subtract and you get -2/5

The second bit now: [tex]\sqrt{6 *\frac{3}{2} }[/tex]

Multiply across and you get 18/2, which can be simplified to 9

√9 = 3

The third section: ([tex]\sqrt{36}[/tex]÷ [tex]\sqrt{5^{2} }[/tex])

The square root of 36 = 6 (because 6•6=36, so it's right)

The square root and the square cancel each other out, so the second part is 5.

6 ÷ 5 = 1.2

Now put it all together: -2/5 • 3 + 1.2

I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5

We now have -2/5 • 3 + 6/5

First we multiply -2/5 and 3 across:

-2/5 • 3 = -6/5

Now we add -6/5 and 6/5 across:

-6/5 + 6/5 = 0

d) [-1.5 + √0.25 - (-0.75)] • 2^4

Doing the brackets first:

The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)

-1.5 + 0.5 - -0.75

-1 + 0.75 (subtracting a negative make a positive)

-0.25

-0.25 • 2^4

2^4 = 16 (this is saying 2•2•2•2 which is 16)

-.25 • 16 = -4

Answer:

2ft^3

Step-by-step explanation:

Volume= L× W× H

[tex]volume = 1 \times 1 \times 2[/tex]

[tex]volume = 2ft^{3} [/tex]

~

Answer:

19 books

Step-by-step explanation:

95/4÷5/4=19bks

Answer:

4.4 rolls

Step-by-step explanation:

10 x 11 = 110

110 / 25 = 4.4

Answer:

14

Step-by-step explanation:

You can solve it like this:

63x2=126

126/9=14

Answer:

C.3600

...............

The number which is 9 times as much as the number 400 is number 3600. The option C is the correct option.

The meaning of n times of a number is that, how many times a number n is required to bring the result as the other number.

The number which is 9 times as much as 400 has to be found out. Let suppose this number is n.

To find the value of n, we have to multiply the number 400 with the number 9. Thus,

[tex]n=400\times 9\\n=3600[/tex]

The value of n is 3600.

Thus, the number which is 9 times as much as the number 400 is number 3600. The option C is the correct option.

Learn more about the multiplication of two number here;

https://brainly.com/question/18248493

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

Answer:

[tex](f \circ g)(x) = 3x + 14[/tex]

[tex](g \circ f)(x) = 3x + 4[/tex]

Step-by-step explanation:

Hello!

Rewrite the equations:

Given that:

[tex](f \circ g)(x) = 3x + 14[/tex]

[tex](g \circ f)(x) = 3x + 4[/tex]

Answer:

You have 164 stamps.

Step-by-step explanation:

Let the no. of my stamps be 'x'

Half of x subtracted by 26 = 56

[tex]\frac{1}{2} x[/tex] - 26 = 56

[tex]\frac{1}{2} x[/tex] = 56 + 26 =  82

[tex]x[/tex] = 82 x 2 =  164

Let's check

[tex]\frac{164}{2}[/tex] - 26 = 56

[tex]\frac{164}{2}[/tex] = 56 + 26

164     = 82 x 2

164 = 164!

The answer is correct.

Answer:

Kinda vague but here...

Step-by-step explanation:

z*(8-4)
z*(4)
4z