Brandon decided to make his own hand sanitizer.
To be effective, hand sanitizer should contain 60%
alcohol.
How much hand sanitizer can Brandon make with 60ml of pure alcohol?

the limit of the expression (16 - s) / (4 - √s) as s approaches 16 is equal to 8.

To evaluate the limit of the expression (16 - s) / (4 - √s) as s approaches 16, we can substitute 16 into the expression and see if it results in an indeterminate form (such as 0/0 or ∞/∞).

lim s→16 (16 - s) / (4 - √s)

Substituting s = 16:

(16 - 16) / (4 - √16) = 0 / (4 - 4) = 0 / 0

We obtained an indeterminate form of 0/0, which means we can apply L'Hôpital's rule to find the limit.

Differentiating the numerator and denominator:

lim s→16 (16 - s) / (4 - √s)

= lim s→16 (-1) / (-1/2√s)

= lim s→16 2√s

Substituting s = 16:

2√16 = 2 * 4 = 8

Therefore, the limit of the expression (16 - s) / (4 - √s) as s approaches 16 is equal to 8.

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Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

Answer:

\( \longrightarrow\tt2 - ( - \frac{1}{8}) + ( \frac{ - 7}{ - 4} )\)

\( \longrightarrow \tt2 + \frac{1}{8} + \frac{7}{4} \)

\( \longrightarrow \boxed{\tt \frac{31}{8} }\)

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A lifeline in a sequence diagram is a line that is used to represent an active object, such as a class, interface, or object, and is typically identified by a solid line.

A lifeline in a sequence diagram is a graphical element used to depict the active objects in an interaction or sequence diagram. The lifeline is typically represented as a solid line running from the top of the diagram to the bottom, which represents the object's lifetime. The lifeline is used to show the messages that are sent and received between objects, as well as the sequence in which they occur. Additionally, the lifeline is often used to represent any changes of state in the objects, such as method calls, data values, and more. By depicting the lifelines of the active objects in a sequence diagram, it is possible to gain a better understanding of the interactions between the objects, and how they are related.

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Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

Explanation:

Concept:

The function translation / transformation rules:

f (x) + b shifts the function b units upward.

f (x) − b shifts the function b units downward.

f (x + b) shifts the function b units to the left.

f (x − b) shifts the function b units to the right.

−f (x) reflects the function in the x-axis (that is, upside-down).

Th function of f(x) is given below as

To translate a function f(x) k units up to give g(x) , we will use the transformation rule below

In this case,

The given functions and values are

By substituting the values, we will have

Hence,

The final answers are

Answer:

\(1996.5\)

Step-by-step explanation:

\(16.5 X 4 X 30.25\)

Hope this helped, please give brainliest

Thank you!

Answer:

To calculate the volume of a object, all you need to do is multiply the length, width and height.  In this equation, that would be 1996.5cm or 786.02362204 inches

Step-by-step explanation:

Hope this helped, please give brainlist

Thank you

Answer: \(3\)

Step-by-step explanation:

The rule for dilating a figure by a scale factor of \(k\) centered at the origin is \((x,y) \to (kx, ky)\).

Using the coordinates of \(D\) and \(D'\), we see that \(k=3\).

Answer:

volume of square based prism = a²h

therefore

150 in³ = x²y

y = 1.5x

150 = 1.5x³

100 = x³

x = ³√100 ≈ 4.64 in

y = 1.5x ≈ 6.96 in

Answer:

100 and 101

Step-by-step explanation:

Hi there!

Let x be equal to the smaller number.

Let x + 1 be equal to the larger number, which is consecutive to the smaller number.

We are given that the sum of the two numbers is 201:

\(x+(x+1)=201\\x+x+1=201\\2x+1=201\\2x=200\\x=100\)

Therefore, the smaller number is 100. Because the larger number is x + 1, it is 101.

I hope this helps!

Answer:

$4.95

Step-by-step explanation:

To calculate the perimeter of a semicircle, you need to find the circumference of the corresponding full circle and divide it by 2. The formula to calculate the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. Given a radius of 10 meters, we can calculate the perimeter of the semicircle as follows:

C = 2π(10)

  = 20π

To find the perimeter of the semicircle, we divide this circumference by 2:

Perimeter = C/2

                = (20π)/2

                = 10π

Therefore, the perimeter of the semicircle with a radius of 10 meters is 10π meters (or approximately 31.42 meters).

Answer:

X = 3, Y = 1.

Step-by-step explanation:

X = 3 and Y = 1, because 2 times 3 equals 6, and 6 plus 1 equals 7. So that's for the first one, but now we need to make sure that it's the same value for the other equation. 3 times 3 equals 9, 4 times 1 equals 4, and 9 minus 4 equals 5. So X = 3, and Y =  1. Hope this helped :D

Answer:

I will change my awnser when you tell me but what are the awnser choices

Step-by-step explanation:

The graph which represents the function y = 2x - 4​ is shown below.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

y = 2x - 4​

Now,

To find four points of y = 2x - 4, we can choose any four values of x and plug them into the equation to find the corresponding values of y. For example, if we choose x = -2, 0, 1, and 2, we get:

When x = -2, y = 2(-2) - 4 = -8 - 4 = -12. So (-2,-12) is a point on the line.

When x = 0, y = 2(0) - 4 = 0 - 4 = -4. So (0,-4) is a point on the line.

When x = 1, y = 2(1) - 4 = 2 - 4 = -2. So (1,-2) is a point on the line.

When x = 2, y = 2(2) - 4 = 4 - 4 = 0. So (2,0) is a point on the line.

Therefore, by the given function answer will be shown below.

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To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

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Answer:

You have no image so how could i solve?

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:

Answer:

The graphs that could be this function are the third one and the last one.

C and E

Hope this helps!

Step-by-step explanation:

Other than C and E, all of the other functions start out by decreasing starting from -5.

They both also have the straight part from -3 - 0 where the function neither increases nor decreases.

They also have the part where from 2 increases to 5.

Answer:

4 15 inches of chains

Step-by-step explanation:

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Answer:

B

Step-by-step explanation:

y = 8√x (square both of side)

y² = 64x

x = y²/64

f-¹(x) = x²/64

The inverse is B.) f-¹(x) = x²/64 for, x≥0

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that, f(x) = 8√x for x ≥ 0

Let, f(x)=y

Then, we get,

y = 8√x (square both of side)

y² = 64x

x = y²/64

i.e. f-¹(x) = x²/64

Hence, The inverse is B.) f-¹(x) = x²/64 for, x≥0

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Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

Answer:

option B

Step-by-step explanation:

"the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles."

so its 7 and 11

Answer:

  B(7 and 11), F(6 and 7)

Step-by-step explanation:

You want to identify the pairs of angles that are consecutive interior angles in the given figure.

Where a pair of lines is crossed by another line, the "interior" angles are those that are between the pair of lines. In the given figure, the only angles that are not  "interior" to one or the other pairs of lines are angles 1, 4, 13, and 16.

"Consecutive" angles are angles that lie on the same side of a line. In this figure, angles 1 and 4 are "consecutive" exterior angles, even though they are not adjacent to one another.

Pairs of consecutive interior angles in this figure are ...

  (2, 3), (6, 7), (10, 11), (14, 15), (5, 9), (6, 10), (7, 11), (8, 12)

The bolded pairs are among the answer choices.

__

Additional comment

"Consecutive" angles are also called "same-side" angles, because they lie on the same side of the line containing the rays that form them.

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Answer:

a) 25830

b)9975

Step-by-step explanation:

a) 287

x 90

25830

b) 105

x 95

9975

(8*1000000)+(8*1000000)=16 000 000

Answer:

x=26°, y=26°, z=26°

Step-by-step explanation:

x+74=100 (the sum of linear pair)

x=100-74

x=26

x=y=26 (alternate angle)

y=z=26 (vertically opposite angle V.O.A)

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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