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You need a 50% alcohol solution. On hand, you have a 240 mL of a 10% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?

You will need

------------mL of the 70% solution

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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Answer:

21, 30 and 2.

Step-by-step explanation:

To find the mean you need to add up all the ages and divide them by however many there are.

In this case it's 27 + 13 + 16 +20 +41 + 9 = 126

126 divided by 6 = 21 so that's your answer.

Since another patient arrived we need to do 126 + 84 = 210. We need to remember that we have 7 patients now so we are going to do,

210 divided by 7 = 30.

Lastly, out of all the ages only 2 are over 30. The patient who is 41 and the new patient who is 84.

Hope that helps. x

Answer: X=45

Step-by-step explanation:

Answer:

...-30, 35, -40, 45,-50

Step-by-step explanation:

Following the pattern I saw this was the answer

Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer:

\(\boxed{\bf \angle \: C = 62^{o} }\)

Step-by-step explanation:

The sum of the opposite angle of cyclic quadrilateral is 180°.

First, lets find x...

Now, let's find the measure of angle C....

________________________

Answer: 4.833333333 you can use a bar over the first 3 to show that it repeats

Step-by-step explanation:

Answer:

4.8(3)

Step-by-step explanation:

first 29 is numerator and 6 is denominator.29/6 can also written as 29÷6.then to convert this fraction to decimal you divide 29 by 6. then the result will be 4.8(3).

Answer:

378 in.²

Step-by-step explanation:

Area= (1/2) × (large base + small base) × height

A= (1/2) × (27+15) × (18)

A = 378 in.²

PLEASE RATE!! I hope this helps!!

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Manual paid with a $10 bill and he got $2.46 as a change.

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −.

Money spent on sandwich=$4.56 and money spent on drink=$2.98.

We need to find out how much did he spend in all.

That is, the total money spent=4.56+2.98=$7.54

He paid with a $10 bill, he gets change as 10-7.54=$2.46

Hence, he paid with a $10 bill and he got $2.46 as a change.

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Answer:

740 cm

Step-by-step explanation:

Answer: 740 centimeters

Step-by-step explanation:

All you have to do is multiply the length value by 100 giving you 740.

There are 9 pizza rolls and  12 mini hot dogs in the combination of the meal.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number of pizzas is x and mini hot dogs are y,
According to the question,
x + y = 21
x = 21 - y  - - - -- (1)

60x + 70y = 1380 - - - - (2)

From the above equations,
60(21 - y) + 70y = 1380
1260 - 60y  + 70y = 1380

10y = 1380 - 1260
y = 120 / 10
y = 12
Now,
x = 21 - y

x = 21 - 12

x = 9

Thus, there are 9 pizza rolls and  12 mini hot bin the combination of the meal.

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Answer:

0.182.

Step-by-step explanation:

There are a total of 11 chocolates in the box.

Prob(First chocolate picked is milk) = 5/11.

Prob(Second chocolate picked is milk) = 4/10 = 2/5.

So the required probability = 5/11 * 2/5

= 10/55

= 0.182.

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:3

Step-by-step explanation: i think

Answer:

He can by 3 candy bars.

Step-by-step explanation:

15.00-9.95=5.05

5.05-1.50=3.55

3.55-1.50=2.05

2.05-1.50=0.55 cents

The expanded value of the given equation is a²+2bx = b² + x ²+ h² .

Multiplication distributes over addition, so an expansion of a product of sums represents it as a sum of products.

Expansion is a scale-increasing affine transformation, sometimes known as enlargement or dilatation. It is also frequently referred to as an enlargement and is the polar opposite of a geometric contraction. An expansion and a translation are equivalent to a central dilation.

We must multiply out the brackets in order to expand and simplify an expression, and we must then collect like words in order to simplify the resulting expression.

Given : a^2= (b-x)^2 +h^2

          a² = (b-x)² + h²

we know that (c-d)² = c²+d² + 2cd

So,    a² = b² + x² -2bx + h²

         a²+2bx = b² + x ²+ h²

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Steps to solve:

f(x) = 1/2(4 - x) when x = 2

~Substitute

f(2) = 1/2(4 - 2)

~Subtract whats in parenthesis

f(2) = 1/2(2)

~Multiply

f(2) = 1

Best of Luck!

Answer:

1

Step-by-step explanation:

substitute \(x\) with 2

\(\frac{1}{2}(4-2)\)

subtract 2 from 4

\(\frac{1}{2} (2)\)

multiply \(\frac{1}{2}\) by 2 or cancel the common factor

1

Answer:

ill get somone to answer it ok

Step-by-step explanation:

Answer:    

123 °

Step-by-step explanation:

because you have been told that the angle that is vertically opposite is 123. idk how to explain but trust me.

Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

To find the slope, we use the points (-1, -1,) and (0,2).

Where,

The slope is 3.

The y-intercept refers to the point where the line touches the vertical axis.

The y-intercept is (0,2).

Then, we use the point-slope formula to find the equation

The equation of the line is y = 3x + 2.

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity.

What is greedy algorithm?

Any algorithm that employs the problem-solving heuristic of selecting the locally optimal option at each stage is said to be greedy.

A greedy algorithm is an algorithmic paradigm that follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

One way that the greedy algorithm can fail is if the problem has multiple locally optimal solutions that lead to different global optimal solutions.

For example, consider the problem of finding the shortest path through a maze. Suppose that the maze has two different paths that are both the same length, but one leads to the exit while the other does not. A greedy algorithm that always chooses the shorter path at each step will get stuck in the path that does not lead to the exit, because it is making locally optimal choices but not finding the global optimal solution.

Another way that the greedy algorithm can fail is if the problem requires a certain amount of "lookahead" in order to find the optimal solution. For example, consider the problem of scheduling a set of tasks with given start and end times and durations. A greedy algorithm might always choose the task with the earliest start time at each step, but this may not lead to the optimal schedule if the task with the earliest start time has a long duration and conflicts with other tasks that need to be completed later. In this case, the greedy algorithm needs to consider the duration of the tasks and the effect on future tasks in order to find the optimal solution.

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity. A greedy algorithm might always choose the item with the highest value-to-weight ratio at each step, but this may not lead to the optimal solution if the items with the highest value-to-weight ratio do not fit in the knapsack or if they leave no room for other items with lower value.

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The third side cannot connect to complete the triangle, we can conclude that the side lengths 6, 6, and 14 do not form a triangle.

What is the triangle inequality theorem?

The triangle inequality theorem states that the sum of the length of two sides must be greater than the length of the third side of that triangle.

No, the side lengths 6, 6, and 14 do not form a triangle.

To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, if we add the two shorter sides 6 and 6, we get 12, which is less than the length of the longest side 14.

Therefore, the three side lengths cannot form a triangle.

We can also visualize this by trying to draw a triangle with sides of length 6, 6, and 14.

If we draw two equal-length sides of 6 units each and try to connect them with a third side of length 14 units, we will see that the third side is too long and cannot connect to form a triangle.

See the following diagram for an illustration in the attached image.

Hence, the third side cannot connect to complete the triangle, we can conclude that the side lengths 6, 6, and 14 do not form a triangle.

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The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.

To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:

average rate of change = (change in output)/(change in input)

where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.

For the function g(x), let's assume we have the following values:

g(1) = 3

g(1.5) = 4

g(2) = 6

g(1+h) = 3h + 1

Then we can calculate the average rate of change over the intervals as follows:

[1, 2]:

change in output = g(2) - g(1) = 6 - 3 = 3

change in input = 2 - 1 = 1

average rate of change = (change in output)/(change in input) = 3/1 = 3

[1, 1.5]:

change in output = g(1.5) - g(1) = 4 - 3 = 1

change in input = 1.5 - 1 = 0.5

average rate of change = (change in output)/(change in input) = 1/0.5 = 2

[1, 1+h):

change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2

change in input = 1+h - 1 = h

average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h

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Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°