ry+r= x - t solve for x

We need to drain away 1750 liters of the 20% orange juice mixture and replace it with an 80% orange juice mixture.

To solve this problem, we need to use the equation:

(initial amount of orange juice in vat - amount drained + amount added) / final amount of mixture = desired percentage of orange juice

Let's start by finding the initial amount of orange juice in the vat. We know that the vat contains 7000 liters of mixture, and 20% of that is orange juice:

Initial amount of orange juice = 7000 liters x 0.20 = 1400 liters

Next, we need to find the amount of mixture that must be drained away. Let's call this amount "x". We know that we want to replace this with an 80% orange juice mixture, so we can set up the following equation:

(1400 - x + 0.8x) / 7000 = 0.25

Simplifying this equation:

(1400 + 0.2x) / 7000 = 0.25

1400 + 0.2x = 1750

0.2x = 350

x = 1750

Therefore, we need to drain away 1750 liters of the 20% orange juice mixture and replace it with an 80% orange juice mixture.

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Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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Answer:

the answer is -7

please mark this as brainliest

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{solution}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

let the missing number be x,

hence, the missing number is -7

Answer:

y = 2x - 3

Step-by-step explanation:

We are given the slope, m = 2

Our standard formula of a line is y = mx + b, so we can substitute for the x and y values of the point (3, 3). If you did not know, the x-value and the y-value are both 3 because the point (3, 3) = (x, y).

So, our equation looks like this:

3 = (2)(3) + b

We can solve for b:

3 = 6 + b

b = -3

And now we have our equation of a line:

y = 2x - 3

Answer:

The answer for this would be:

Sin P = Opp/Hyp

Sin P = 55/73

Answer = 55/73

Answer:

8x + 5

Step-by-step explanation:

5 * (2x+1) = 10x +5

10x + 5 -2x

8x + 5

The profit (p) is $7500 generated by selling 1500 units of a certain commodity is given by the function p ( x ) = - 1500 + 12 x - 0.004 x²

To maximize our profit, we must locate the vertex of the parabola represented by this function. The x-value of the vertex indicates the number of units that must be sold to maximize profit.

We may use the formula for the x-coordinate of a parabola's vertex:

x = -b/2a

where a and b represent the coefficients of the quadratic function ax² + bx + c. In this situation, a = -0.004 and b = 12, resulting in:

x = -12 / 2(-0.004) = 1500

This indicates that when 1,500 units are sold, the profit is maximized.

To calculate the greatest profit, enter x = 1500 into the profit function:

P(1500) = -1500 + 12(1500) - 0.004(1500)^2

P(1500) = -1500 + 18000 - 9000

P(1500) = $7500

Therefore, the maximum possible profit is $7,500 and it is generated when 1,500 units are sold.

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To achieve this maximum profit, exactly 1500 units must be sold.

To find the maximum profit and the number of units needed to generate it, we can use the given profit function p(x) = -1500 + 12x - 0.004x^2. We need to find the vertex of the parabola represented by this quadratic function, as the vertex will give us the maximum profit and the corresponding number of units.

Step 1: Identify the coefficients a, b, and c in the quadratic function.
In p(x) = -1500 + 12x - 0.004x^2, the coefficients are:
a = -0.004
b = 12
c = -1500

Step 2: Find the x-coordinate of the vertex using the formula x = -b / (2a).
x = -12 / (2 * -0.004) = -12 / -0.008 = 1500

Step 3: Find the maximum profit by substituting the x-coordinate into the profit function p(x).
p(1500) = -1500 + 12 * 1500 - 0.004 * 1500^2
p(1500) = -1500 + 18000 - 0.004 * 2250000
p(1500) = -1500 + 18000 - 9000
p(1500) = 7500

So, the maximum profit is $7,500, and 1,500 units must be sold to generate it.

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Answer:

Step-by-step explanation:

3/5 divided by 7/10

You use KCF

KCF stands for keep change flip

So it would be 3/5x10/7

3              10                    15

_      x       _        =            _

5               7                       7

you need to simplify it so the 5 in 3/5 would be a 1 and the 10 in 10/7 would be  5

Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

The most likely scientific explanation for improvement after wearing this jewelry was D. Some people may feel improvement after a week because their body is healing naturally, without help from the ions.

The placebo effect is the best scientific explanation for why so many people experience better after donning a particular piece of jewelry.

The placebo effect happens when users of a product claim to be experiencing physical or mental changes as a result of using it, despite the fact that the product itself lacks the ingredients necessary to produce these effects. The jewelry is acting as a placebo in this scenario.

After a week, some people may experience improvement as their bodies begin to recover on their own, without the aid of the ions.

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Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

By using formula:-

\( {\color{hotpink}\bigstar} {\boxed{\sf {\green{ slope : m = \: \frac{y_2 - y_1}{x_2 - x_1} }}}}\)

Solution:-

\( \sf \: m = \frac{y_2 - y_1}{x_2 - x_1} \)

\( \: \)

where ,

\( \: \)

\( \: \)

\( \sf \: m = \frac{( -2 ) - ( -3 ) }{1 - 2} \)

\( \: \)

\( \sf \: m = \frac{ - 2 + 3}{ \: 1 - 2} \)

\( \: \)

\( \sf \: m = \cancel \frac{1}{ - 1} \)

\( \: \)

\( \underline{\boxed{ \sf{ \blue{ \: m = -1 \: }}}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

(a) To find the partial derivatives, we differentiate the function f(x, y) with respect to x and y while treating the other variable as a constant.

fx(x, y) = d/dx [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8x(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2x)) / (x^2 + y^2)^2]

          = [(8x^3 + 8xy^2 - 8x^3 - 4x^2y - 8xy^2) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

fy(x, y) = d/dy [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8y(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2y)) / (x^2 + y^2)^2]

          = [(8xy^2 + 8y^3 - 8xy^2 - 4x^2y - 8y^3) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

(b) To find fx(0, 0) and fy(0, 0), we substitute x = 0 and y = 0 into the partial derivative expressions:

fx(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

fy(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

(c) Both partial derivatives, fx(x, y) and fy(x, y), are continuous at every point in the set {(x, y): (x, y) ≠ (0, 0)}.

However, at the point (0, 0), the partial derivatives fx(0, 0) and fy(0, 0) are both 0, indicating that the partial derivatives are continuous at that point as well.

Therefore, the correct answer is (a) Yes, both the partial derivatives are continuous at every point in that set.

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Answer:

C

Step-by-step explanation:

Answer:

SA = 148 cm^2

Step-by-step explanation:

The surface area of a cube is given

SA = 2 ( lw+ wh+lh)  where l is the length, w is the width and h is the height

SA = 2 ( 5*4+ 4*6+ 5*6)

SA = 2 ( 20+ 24+ 30)

SA = 2( 74)

SA = 148 cm^2

For an angle measure of 7π/6 radians, the exact values are: cos(7π/6) = √3/2 sin(7π/6) = -1/2

To find the exact values of cosθ and sinθ for an angle measure of 7π/6 radians, we can use the unit circle and trigonometric definitions.

In the unit circle, an angle of 7π/6 radians corresponds to a reference angle of π/6 radians in the fourth quadrant (since 7π/6 is greater than π). The reference angle is the acute angle formed between the positive x-axis and the terminal side of the angle.

First, let's find the cosine (cosθ) of 7π/6 radians:

The cosine of an angle is the x-coordinate of the point where the terminal side of the angle intersects the unit circle.

Since the reference angle is π/6 radians, the cosine of π/6 radians is √3/2 (cos(π/6) = √3/2).

In the fourth quadrant, the x-coordinate is positive, so the cosine of 7π/6 radians is also √3/2.

Next, let's find the sine (sinθ) of 7π/6 radians:

The sine of an angle is the y-coordinate of the point where the terminal side of the angle intersects the unit circle.

Since the reference angle is π/6 radians, the sine of π/6 radians is 1/2 (sin(π/6) = 1/2).

In the fourth quadrant, the y-coordinate is negative, so the sine of 7π/6 radians is -1/2.

Therefore, for an angle measure of 7π/6 radians, the exact values are:

cos(7π/6) = √3/2

sin(7π/6) = -1/2

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Answer:

Step-by-step explanation:

423

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

The Maclaurin series for f(x) is:

f(x) = 1 - x¹⁶ + x³² - 2x⁴⁸ + ...

A function can be written as a series (or sum) of terms using its derivatives with the aid of the Maclaurin series formula. This formula aids in determining the function's approximation value.

To find the Maclaurin series for the function f(x) = (cos(x⁸))², we can use the formula:

f(x) = ∑(n=0 to ∞) [\(f^{(n)}(0)\)/n!] * \(x^n\)

where \(f^{(n)}(0)\) is the nth derivative of f(x) evaluated at x=0.

First, we need to find the derivatives of f(x):

f(x) = (cos(x⁸))²

f'(x) = -16x⁷ * sin(x⁸) * cos(x⁸)

f''(x) = -16cos(x⁸)*cos(x⁸) + 128x¹⁴sin(x⁸)sin(x⁸)

f'''(x) = 512x²¹cos(x⁸)sin(x⁸)sin(x⁸) - 128x⁷sin(x⁸)cos(x⁸)cos(x⁸)

and so on. We can see that the derivatives become increasingly complicated as we go higher in order. Instead of computing these derivatives directly, we can use the identity:

cos(2θ) = 2cos²(θ) - 1

to simplify the expression for f(x):

f(x) = (cos(x⁸))² = 1/2 * (1 + cos(2x⁸))

Now, we can find the Maclaurin series for each part of the expression separately:

Maclaurin series for 1/2:

1/2 + 0 + 0 + 0 + ...

Maclaurin series for cos(2x⁸):

cos(0) - 2x¹⁶sin(0)/1! + 2²x³²cos(0)/2! - 2³x⁴⁸sin(0)/3! + ...

= 1 - 2x¹⁶ + 2²x³² - 2³x⁴⁸ + ...

Multiplying these series together, we get:

f(x) = 1/2 + (1 - 2x¹⁶ + 2²x³² - 2³x⁴⁸ + ...) / 2

= 1/2 + 1/2 - x¹⁶ + 2¹x³² - 2²x⁴⁸ + ...

= 1 - x¹⁶ + 2⁰x³² - 2¹x⁴⁸ + ...

Therefore, the Maclaurin series for f(x) is:

f(x) = 1 - x¹⁶ + x³² - 2x⁴⁸ + ...

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Answer: its A

Step-by-step explanation:

Because

The length of the diagonal of the TV is 50 inches

Given that the TV is 30 inches tall and 40 inches wide.

So length of the TV, l = 30 inches

and Width of the TV = 40 inches

The angle between the length and width of the TV is right angle. So we can use Pythagoras Law here.

That is, square of the hypotenuse is equal to the sum of the squares of the base and altitude of the right triangle.

i.e., If 'd' is the diagonal of the TV, then,

    \(d^2 = l^2 +b^2 = 30^2+40^2 = 2500\)

This implies that  \(d=\sqrt{2500}=50\) inches.

So the diagonal of the TV is 50 inches long.

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Answer:

50 inches

Step-by-step explanation:

Hope this helps

Answer:

a) 14

b) green

c) fraction 6/14

percentage: 42.8% rounded: 40%

not sure about the decimal tho

Answer:

a) 14

b) green

c) 6/14

d)percent 42.8 %

round up 40 %

Answer:

A

Step-by-step explanation:

Because there is three points ABC

Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Pairs of values that could be the number of grams of protein and fiber in the protein bar are:

10 grams of protein and 20 grams of fiber. That is, (10, 20)

and

15 grams of protein and 10 grams of fiber. That is, (15, 10)

From the question, we are to determine the pair of values that could be the number of grams of protein and fiber in the protein bar

From the given information,

The protein has 80 calories from p grams of protein and f grams of fiber

and

The equation that represents the relationship is

4p + 2f = 80

To determine the pair of values, we can determine the values of f for certain values of p

When p = 10

4p + 2f = 80

4(10) + 2f = 80

40 + 2f = 80

2f = 80 - 40

2f = 40

f = 40/2

f = 20

A pair of values is 10 grams of protein and 20 grams of fiber.

When p = 15

4p + 2f = 80

4(15) + 2f = 80

60 + 2f = 80

2f = 80 - 60

2f = 20

f = 20/2

f = 10

Thus,

Another pair of values is 15 grams of protein and 10 grams of fiber.

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The area of a 2D form is the amount of space within its perimeter. The surface area of the composite figure is 76.8 ft².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the composite figure,

Surface area = 2(3.6×2) + (4×2) + 3(3.6×4) + 2(5.6)

                       = 14.4 + 8 + 43.2 + 11.2

                       = 76.8

Hence, the surface area of the composite figure is 76.8 ft².

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Answer:

  an = 3n^2 +2n +5

Step-by-step explanation:

If the n-th term is given by ...

  an = a·n^2 +bn +c

Then we can write 3 equations in a, b, c:

  10 = a·1 +b·1 + c

  21 = a·4 +b·2 +c

  38 = a·9 +b·3 +c

Subtracting each equation from the next gives ...

  11 = 3a +b

  17 = 5a +b

Then subtracting the first of these from the second, we have ...

  6 = 2a

  3 = a

Substituting in to the first of the reduced equations, we find ...

  11 = 3(3) +b   ⇒   b = 2

And substituting these values into the first equation gives ...

  10 = 3 +2 +c   ⇒   c = 5

The expression for the n-th term is ...

  an = 3n^2 +2n +5