Which statement best explains how organ systems in the human body function?

A.
They work at different times to conserve energy.

B.
They work together to benefit the entire organism.

C.
They work at different times, depending on their job.

D.
They work independently of each other, for efficiency.

It would require an equal amount of 15% acid solution and 85% acid solution, specifically 20 liters of each to produce 40 liters of a 50% acid solution,

To determine the amount of each solution needed, we can set up a system of equations based on the acid content:

Let's assume x represents the amount of the 15% acid solution in liters, and y represents the amount of the 85% acid solution in liters.

We have two conditions to consider:

1. The total volume of the solution: x + y = 40 (since the total volume required is 40 liters).

2. The acid content: 0.15x + 0.85y = 0.50 * 40 (since we want a 50% acid solution, which is half of the total volume).

Now, we can solve this system of equations. Let's use the substitution method.

From the first equation, we can express y in terms of x as y = 40 - x.

Substituting this value of y into the second equation, we get:

0.15x + 0.85(40 - x) = 0.50 * 40

0.15x + 34 - 0.85x = 20

0.15x - 0.85x = 20 - 34

-0.70x = -14

x = -14 / -0.70

x = 20

Substituting the value of x back into the first equation, we find:

20 + y = 40

y = 40 - 20

y = 20

Therefore, you need 20 liters of the 15% acid solution and 20 liters of the 85% acid solution to produce 40 liters of a 50% acid solution.

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Answer:

A = 8,820.24 yd²

Step-by-step explanation:

\(A = \pi r^{2}\)

r = diameter ÷ 2

r = 106 ÷ 2 = 53

A = (3.14)(53)²

A = (3.14)(2809)

A = 8,820.24 yd²

Answer:

8,820.26 yd²

Step-by-step explanation:

(see attached for reference)

Given:

Diameter, D = 106 yd

π = 3.14

Area of circle

= (1/4) π D²

= (1/4) (3.14) (106)²

= 8,820.26 yd²

Answer:

11 dimes and 16 quarters

Step-by-step explanation:

system of equations lol

Answer:

Below

Step-by-step explanation:

Here is the point-slope form of this line to start:

y-3 = -4 ( x-1)      which can be re-arranged to

y = -4x +7            which is y = mx + b form ( slope -intercept from)

or

4x + y = 7      sometimes called 'standard form'

Answer:

y=-3x+4

Step-by-step explanation:

I just use desmos to graph it and find the line of fit.

Dividing by a fraction means the same as multiplying by its reciprocal.

In other words, change the division sign to multiplication

and flip or take the reciprocal of the second fraction.

So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.

Now multiply across the numerators and denominators to get 12/13.

Answer:

Step-by-step explanation:

KCF = Keep Change Flip

2/3 divided by 1/6

K        C             F

2/3 you keep

divided you change it to Multiplication X

And Flip 1/6 to 6/1

then Multiply

2/3 x 6/1 =

12/3 = 4

Answer:

sin20°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , thus

cos70° = sin(90 - 70)° = sin20°

Answer:

40%

\( \frac{2}{5} times \: both \: by \: 2 \frac{4}{10} = .4 = 40\%\)

In order to find the roots of the quadratic equation ax2 + bx + c = 0, one uses the formula x = (-b (b2 - 4ac))/2a.

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.Our ability to solve any quadratic equation is aided by the quadratic formula. First, we change the equation's form to read as ax2+bx+c=0, where a, b, and c are the coefficients. As a result, we enter these coefficients into the formula: (-b(b2-4ac))/(2a).

here

In order to find the roots of the quadratic equation ax2 + bx + c = 0, one uses the formula x = (-b (b2 - 4ac))/2a.

Discriminant is given by D = b2 - 4ac. There are two actual and distinct roots to the equation if D > 0.

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Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

           AB =

Given vertices are  B(6,9) and C( 6,-3)

            =  

   BC = 12

Given vertices are  A(3,3) and C( 6,-3)

AC² = AB²+BC²

45  = 45+144

45  ≠ 189

∴Given Δ ABC is not a right angle triangle

Step-by-step explanation:

The correct answer is D. 35%. There is a 35% chance that a randomly selected moth from the population will be black.

To find the approximate probability of a moth being black, we need to divide the number of black moths by the total number of moths in the population.

Total number of moths = 47 (brown) + 15 (yellow) + 34 (black) = 96

Number of black moths = 34

Probability of a moth being black = (Number of black moths) / (Total number of moths) = 34 / 96 ≈ 0.3542

Rounded to the nearest percent, the approximate probability of a moth being black is 35%. Therefore, the correct answer is D. 35%.

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To find the surface area of a refrigerator, square inches or square feet can be used.

The surface area of the cube is 150 square feet.

Volume of the box is 4500 cubic centimeters.

Package B has greater volume of 204 cubic inches greater .

Surface area of any object are measured in square units.

So square feet and square inches can be used.

Surface area of a cube = 6a², where a is the edge length.

Surface area = 6 (5)² = 150 square feet

Volume of the rectangular box = length × width × height

                                                   = 20 × 7.5 × 30

                                                   = 4500 centimeters³

Volume of package A = 10.5 × 4 × 8 = 336 cubic inches

Volume of package B = 18 × 12 × 2.5 = 540 cubic inches

Package B has greater volume.

It is greater by 540 - 336 = 204 cubic inches

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Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

The function f(x) is given by f(x) = (x^5) - (x^4) + (5x^2) - (5x) + 2.

The function f(x) is given as f ''(x) = 20x^3 - 12x^2 + 10, with initial conditions f(0) = 2 and f(1) = 7. We need to find the function f(x).

Integrating f ''(x) with respect to x, we get f'(x) = 5x^4 - 4x^3 + 10x + C1, where C1 is the constant of integration. Integrating f'(x) with respect to x, we get f(x) = (x^5) - (x^4) + (5x^2) + (C1*x) + C2, where C2 is another constant of integration.

Using the initial condition f(0) = 2, we get C2 = 2. Using the initial condition f(1) = 7, we get C1 + C2 = 2, which gives us C1 = -5. Therefore, the function f(x) is given by f(x) = (x^5) - (x^4) + (5x^2) - (5x) + 2.

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The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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Answer:

45.7 inches

Step-by-step explanation:

The perimeter uses 3 sides of the square, so 3 x 10 = 30. We'll add that later.

Then we need to find the circumference of the half-circle. We know the diameter is 10, because that's the side of a square.

Circumference = pi x diameter

C = 3.14 x 10 = 31.4

But that's for the whole circle. We only have a half.

31.4 /2 = 15.7 is the perimeter for the half circle. Add this to the 3 sides of the square

30 + 15.7 = 45.7

Answer:

-1 is 1 to the left of zero. Positive one is 1 to the right of zero

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

The rate at which the length of a side is decreasing when the area of the triangle is 300 cm² is approximately -0.083 cm/min, or -1/12 cm/min, accurate to 3 decimal places.

Let's use the formula for the area of an equilateral triangle to relate the rate of change of the area to the rate of change of the side length.

The area of an equilateral triangle with side length s is given by:

A = (√3/4) s²

Taking the derivative of both sides with respect to time t, we get:

dA/dt = (√3/2) s ds/dt

where ds/dt is the rate at which the side length is changing.

We know that dA/dt = -5 cm²/min (since the area is decreasing at a rate of 5 cm²/min), and we want to find ds/dt when A = 300 cm².

So we have:

-5 = (√3/2) s ds/dt

Solving for ds/dt, we get:

ds/dt = -10/(√3s)

When A = 300 cm², the side length can be found by rearranging the formula for the area:

s² = (4/√3) A

s² = (4/√3) (300)

s = 20√3 cm

Substituting this value into the expression for ds/dt, we get:

ds/dt = -10/(√3(20√3))

ds/dt = -1/12 cm/min

Therefore, the rate at which the length of a side is decreasing when the area of the triangle is 300 cm² is approximately -0.083 cm/min, or -1/12 cm/min, accurate to 3 decimal places.

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To find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis, we can use the method of cylindrical shells.

First, let's determine the limits of integration. The region is bounded by x = 1 and x = 5, so our limits of integration will be from x = 1 to x = 5.

Next, we consider a small vertical strip at an arbitrary x-value within this interval. The height of the strip is given by the difference between the y-values of the two curves: y = 5/x and y = 0. Thus, the height of the strip is h = 5/x - 0 = 5/x.

The circumference of the strip is 2πr, where r is the x-value. Therefore, the circumference is 2πx.

Now, we can calculate the volume of the strip by multiplying the height, the circumference, and a small width dx. Hence, the volume of the strip is dV = 2πx * (5/x) * dx = 10π dx.

To find the total volume, we integrate the expression for dV from x = 1 to x = 5:

V = ∫(1 to 5) 10π dx.

Integrating, we get:

V = [10πx] (from 1 to 5)

= 10π(5 - 1)

= 40π.

Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 5/x, y = 0, x = 1, and x = 5 about the x-axis is 40π cubic units.

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Answer:

I believe it is umberto

Step-by-step explanation:

If you find the area of one square by multiplying .75*.75 to get one side, you then multiply that answer by six to get the surface area of one box, then multiply that by 12 to get all 12 boxes surface area.

Answer:

\(a_{64} = -313\)

Step-by-step explanation:\(a_{64} = 2 -135\)

This is the Arithmetic Sequence Formula->  \(a_{n} = a_{1} + (n+1) d\)

1) The d represents your difference of the equation. You can find it by finding a pattern between the three numbers given, which is -5

2) Now that we've found our difference, we can plug it into this lovely sequence we have \(a_{64} = a_{1} + (64-1) -5\) (by the way, your n represents your term that you plug into the equation)

3) \(a_{64} = 2 + (64-1) -5\)  This also means that \(a_{1}\) is our first term, which is 2

4) Simplify \(a_{64} = 2 + (63) -5\) --> \(a_{64} = 2 +-315\)

5) \(a_{64} = -313\)

The formula is confusing at first, but it becomes easier once your learn the patterns!

Answer:

161

Step-by-step explanation:

a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

y = -x + 4

uisng equation of ;line: y = mx + b

m = slope, b = y-intercept

points: 3, 1 and 5, -1​

Slope formula:

To get the y-intercept, we would pick any of the points:

using: (3, 1) = (x, y)

y = mx + b

1 = -1(3) + b

1 = -3 + b

1 + 3 = b

b = 4

The equation becomes:

y = -1(x) + 4

y = -x + 4