Answer:
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
x(0)=20,y(0)=5
Step-by-step explanation:
We are given that
Tank A contains water=80 gallons
x(0)=20,y(0)=5
Tank B contains water=30 gallons
Rate=4 gallon/min
Concentration of salt is pumped into tank=0.5 pound /gallon of water
Solution pumped from tank A to tank B at the rate=6 gallons/min
Solution pumped from tank B to tank A at the rate=2gallon/min
Solution from tank B is pumped out of the system at the rate=4 gallon/min
We have to find the DE at time t
For x
Rate in=[tex]0.5\times 4+y(t)/30\times 2[/tex]
Rate in=[tex]2+y/15[/tex]
Rate out=[tex]x/80\times 6[/tex]
Rate out=3x/40[/tex]
[tex]\frac{dx}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dx}{dt}=2+y/15-3x/40[/tex]
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
For y
Rate in=[tex]x/80\times 6[/tex]
Rate in=3/40x
Rate out=[tex]y/30\times (4+2)[/tex]
Rate out=y/5
[tex]\frac{dy}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
Which of the following statements is true?
Answer: The y-intercept is 5
Step-by-step explanation:
Find the area of the figure. Round to the nearest tenth if needed. Enter the number only.
9514 1404 393
Answer:
215.6 cm^2
Step-by-step explanation:
The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...
A = LW
A = (12.25 cm)(3.25 cm) = 39.8125 cm^2
The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...
A = (7.25 cm)(3.25 cm) = 23.5625 cm^2
The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...
A = (12.25 cm)(7.25 cm) = 88.8125 cm^2
Then the total area is ...
area = middle rectangle + 2×side wings + 2×top/bottom wings
= 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2
The area of the figure is about 215.6 cm^2.
Which of the following shows the Commutative Property of Multiplication?
A) 4x5=5x4
B) 4×(5+ 8) = (4 × 5) + (4 x 8)
C) 3 x 2) × 7 = 3 ×(2 x 7)
D) 9×7 = 63
The options that shows the Commutative Property of Multiplication is:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
------------------------------
The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:[tex]a \times b = b \times a[/tex]
From the options, the ones which shows it are:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
In C), on the left-side, first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.
A similar problem is given at https://brainly.com/question/6788284
PLEASE HELPPP!!!!
A landscape company, Patio Town, told William it would cost $3,200 to build a new patio in his backyard.
The materials needed make up 40% of the total cost.
The expense of hiring workers makes up 60% of the total cost.
William decided to do all the work himself and to buy all the materials from Patio Town. How much did William pay Patio Town for materials?
Find the sum of 24/5 + 13/9
what division equation is related to 4x6=24
Answer:
24÷6=4 or 24÷4=6
Step-by-step explanation:
Ok so we know 6x4=24, so just do 24÷6 or 24÷4.
Hope this helped!
Please help, don’t understand
Please help solve for X and AB.
Answer:
x=3 and AB=20
Step-by-step explanation:
If CB and BD are equal segments then you can solve for x by solving for
3x+6=8x-9
3x+15=8x (Add 9 to both sides)
15=5x (Subtract 3x from both sides)
x=3 (Divide 5 by both sides)
To find AB, substitute 3 and x
7(3)-1
21-1
20
Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Answer:
you copied the other line
Step-by-step explanation:
you drew over the other line and it should be exact
Answer:
Hope this helps ! (OwO)/
Step-by-step explanation:
A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ
father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step
Answer:
5 steps
Step-by-step explanation:
[tex]65cm \times 8 = 520cm[/tex]
[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]
[tex]25 \times 8 = 200cm \: gap[/tex]
[tex]200 \div 40 = 5[/tex]
Answer:
His daughter has walked 13 steps
Step-by-step explanation:
Unit Conversion
Each step of the father is 65 cm long and each step of his daughter is 4 dm long.
Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.
Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.
His daughter has walked 13 steps
the formula y=12x converts x feet to y inches. Rewrite the formula to convert y inches to x feet
Answer:
x=y/12
Step-by-step explanation:
I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?
Answer:
111.6
Step-by-step explanation:
92.8+28.7=121.5
121.5-9.9=111.6
SOMEONE PLS HELP!! QUICKLY!!
9514 1404 393
Answer:
x = 2
NK = 16
Step-by-step explanation:
The Pythagorean theorem can be used to find LN:
LN² +LC² = NC²
LN² = NC² -LC² = 65^2 -63^2 = 256
LN = √256 = 16
LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent
__
LN = NM = 8x = 16
x = 2
I will give brainiest to whoever answers correctly !!
Pls Help ASAP if you. Can
Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answer:
x>70/11
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
3.82% (approximately)
Step-by-step explanation:
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answer:
Step-by-step explanation:
The answer is (A)
Find the length of the hypotenuse
Answer: what’s the problem?
Answer:
a²+b²=c²
Step-by-step explanation:
If you have A and B then you will be able to use them to solve C, this also known as Pythagorean theorem. Again, if you have A and B ypu will be able to plug in your numbers into A and B and solve the equation... But if that is not what you're looking for then I can not solve your problem since there is no work.Find three ratios equivalent to the ratio described in the situation the ratio of cups of water to cups of milk in a recipe 1 to 5
10 + 10 = 21
dont ask howwwwww
C = 7a^4+ + 5a²b2 – 3b^4
D=5a^4 + 7a²b^2 + 3b^4
C - D =
Answer:
2a^4 +12a
[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]
Answer:
C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Step-by-step explanation:
We are given:
[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]
We need to find C-D.
Finding C-D we actually have to subtract D from C
So, finding C-D
[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]
Now, combining the like terms.
Like terms are those that have same variables and exponents.
In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]
[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]
So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
-27.375/7.5 plz show explanation
Answer:
-3.65
Step-by-step explanation:
We use the rules of division
Then we divide
[tex] - (27.375 \div 7.5) \\ - 3.65[/tex]
Answer:
-3.65
Step-by-step explanation:
-27.375/7.5
= - 3.65
Plz mark me Brainliest
What's the correct answer to this math problem?
27.4-3.2×2
Answer:
21
Step-by-step explanation:
..........................
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
Help find the answer?
Answer/Step-by-step explanation:
4. The product of ⅓ and a => ⅓ × a = [tex] \frac{1}{3}a [tex] or [tex] \frac{a}{3} [/tex]
5. a divided by 3 => a ÷ 3 = ⅓a
6. Subtracting ⅓ from b => [tex] b - \frac{1}{3} = \frac{b}{1} - \frac{1}{3} = \frac{3b - 1}{3} [/tex]
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
subtract -3n^2 from -7n^2
Answer: 4n^2
Step-by-step explanation: -3n^2 - (-7n^2) = -3n^2 + 7n^2= 4n^2. When adding and subtracting the exponents stay the same only the coefficients are subtracted or added
Please help me ASAP I’ll mark Brainly
Answer:
I can't help if I can't see the question