Use the substitution method to solve the system of equations.

5x+2y=1
Y=-x+2

Answer:

This will help i am telling you if it don't ask me for the answer

Step-by-step explanation:

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:

is an example of enequality

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:

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:

V = 1/3 LWH

Step-by-step explanation:

V = Volume

L = Length

W = Width (or you can write B instead of W)

B = Breadth (same meaning as Width)

H = Height

Hope this helps you.

Answer:

24 is the LCM.

Step-by-step explanation:

6, 12, 18, 24

8, 16, 24

12, 24

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

There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-

Answer:

[tex]x = 10.5[/tex]

Solving steps:

3 1/2 = 5, x = 15

divide 3.5 by 5

=> 0.7

0.7 by 15

=> 10.5

Answer:

i think it would be 12 inches wide

Step-by-step explanation:

Answer: Square

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:

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:

2(2+11)

Step-by-step explanation:

i hope it helps i guess

Answer:

14

Step-by-step explanation:

You can solve it like this:

63x2=126

126/9=14

Answer:

8 guests.

Step-by-step explanation:

1 cake split by 8 guests means each guest gets 1/8 of the cake.

please give brainliest!!

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:your mom

Step-by-step explanation:

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:

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

Step-by-step explanation:

64 crayons school order 25 for the art class there are 5 art class they should be share evenly