solution a is prepared using a stock solution with a concentration of 0.300 m by a dilution factor of 10. what is the concentration of solution a?

Slope of the given graph function is -3/2 while the y-intercept: (0, 1)

What is slope intercept?

Finding the equation of a straight line in the coordinate plane is done using the slope intercept form. The connection that any point's coordinates on the line must satisfy is the equation of a straight line. Any point that is not on the line will not have coordinates that satisfy. The answer to this equation is simple to determine.

To Find :  equation of the line, in slope-intercept form

Solution:

Standard/ general form of equation of line in 2 variables is

Ax + By + C = 0

Slope intercept form is

y = mx + c

intercept form is

x/a  + y/b   = 1

Slope intercept form is

y = mx + c

m = Slope = -3/2

c = y intercept  =  1  

y  = (-3/2)x  + 1

equation of the line, in slope-intercept form is   y  = (-3/2)x  + 1.

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Answer:

Each drink costs $1.50

Step-by-step explanation:

Let d = the cost of a drink

6(4.50) + 2d = 5(4.5) + 5d  Distribute the 6 and 5

27 + 2d = 22.50 + 5d  Subtract 2d from both sides

27 + 2d - 2d = 22.50 + 5d - 2d

27 = 22.50 + 3d  Subtract 22.50 from both sides

4.5 = 3d  Divide both sides by 3

1.50 = d                    

Answer:

Die verhouding 4:6 kan vereenvoudig word tot 2:3 door beide syfers de deel deur 2 te deel.

Answer:

B

Step-by-step explanation:

7 ≤ [tex]\frac{z}{28}[/tex] ( multiply both sides by 28 to clear the fraction )

196 ≤ z , then

z ≥ 196

Answer: He bought 16 books

Step-by-step explanation: $133-$5=$128 (taking away shipping)

$128/8=16 (separating non-shipping price into groups of $8 to compensate for the cost of books)

A: 8b+5=133

B: 8b-133=5

b=16

An orthogonal matrix has determinant and real eigenvalues of either 1 or -1, depending on the orientation and reflection properties of the matrix.

An orthogonal matrix is a special type of square matrix where the transpose of the matrix is equal to its inverse.

The determinant of an orthogonal matrix is either 1 or -1. This is because the determinant of a matrix represents the scaling factor of the matrix and an orthogonal matrix can only scale the space by a factor of 1 or -1.

The determinant of 1 indicates that the matrix preserves orientation, while a determinant of -1 indicates that the matrix reflects the space.

The real eigenvalues of an orthogonal matrix are either 1 or -1. This is because an orthogonal matrix preserves the magnitude of vectors, and therefore, the eigenvalues must be either 1 or -1.

The number of eigenvalues equal to 1 is equal to the number of dimensions preserved by the matrix, and the number of eigenvalues equal to -1 is equal to the number of dimensions reflected by the matrix.

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The total number of different combinations Sam can make is 120.

The number of different ways that Sam can order the parts is given by the product of the number of choices he has for each part:

Chips: 2 options

Hard Drive: 4 options

Memory: 3 options

Accessory Bundle: 5 options

Therefore, the total number of different combinations Sam can make is 2 x 4 x 3 x 5 = 120.

This is about a person named Sam who is assembling a computer and has a choice of parts from different brands and stores. The problem is to calculate the number of different combinations of parts he can choose from. The solution involves finding the number of options he has for each part (chips, hard drive, memory, and accessory bundle) and then multiplying these numbers to get the total number of combinations.

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Answer:

Step-by-step explanation:

THE CONSTANT RATE WILL BE 2.5 so that would =75%

The value of x in the triangle is 14.4 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the length of x in the right triangle as follows;

Using similar triangle ratios,

x / 18 = 24 / 30

cross multiply

30x = 24 × 18

30x = 432

divide both sides of the equation by 30

x = 432 / 30

x = 14.4

Hence,

x = 14.4 units

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The value of a and b are 1 and 6 respectively.

The equation of the line is y = 1 / 3 x + 1.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the value of a and b using the line.

Hence, using (3, 2) and (12, 5)

slope = 5 - 2 / 12 - 3

slope = 3 / 9

slope = 1  /3

Therefore, let's find the y-intercept using (3, 2)

y = 1 / 3 x + b

2 = 1  /3 (3) + b

2 - 1 = b

b = 1

Therefore, the equation is y = 1 / 3 x + 1.

Let's find a and b

a is the y-intercept. Therefore, a = 1

using (b, 3)

y = 1 / 3 x + 1

3 = 1 / 3 (b) + 1

3 - 1 = b / 3

b = 2 × 3

b = 6

Therefore,

a = 1 and b = 6

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Answer: 325000

Step-by-step explanation:

In 2000 the population was 250,000 and it would grow 3 percent a year which is 7500 so that means we add 75000 since 7500 X 10 = 75000 so we add it which gives us 325000 in 2010.

The interval notation for the set {x ∈ Z : −1 ≤ x < 43} is [-1, 43).

An "interval" in mathematics refers to a set of numbers between two given endpoints, where the endpoints can be included or excluded from the set, depending on the specific interval notation being used.

In the case of the set {x ∈ Z : −1 ≤ x < 43}, we are looking at all integers (x ∈ Z) that satisfy the inequality −1 ≤ x < 43.

This means that we are looking at all integers greater than or equal to −1 and less than 43.

Here we need to express this set in interval notation, we have to decide whether or not to include the endpoints −1 and 43.

Since the inequality symbol used is "<" for 43, we will exclude 43 from the set and use a parenthesis around 43 in the interval notation to indicate that it is not included in the set.

Therefore it can be written as, [-1, 43).

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Some of the signs and symptoms of drug abuse are: sudden weight loss, secretive behavior, depression and anxiety, low performance at work, etc.

Drug addiction, also known as substance use disorder, is a condition that affects the behavior and brain of a person, resulting in the inability to manage the use of a legal or illegal drug or medicine.

Substance addiction can begin with the trial use of a recreational drug in social contexts, and for some people, the drug usage progresses to more frequent use. People, particularly those addicted to opioids, become addicted to drugs when they consume prescribed medications.

Signs and symptoms of drug abuse includes:

There are typos in your question, most likely it was:

List the sign and symptoms of drug use and abuse based from the interview, list them according to the change they cause in a person.

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Our legs range in length from 15 to 36. (A & B). A hypotenuse is 39.

We must apply Pythagorean Theorem in order to solve for this.

In order to find the hypotenuse (C), or the side that is opposite the 90-degree angle, we add the squares of the legs (A & B). This is known as the Pythagorean Theorem.

A² + B²  = C²  is the Pythagorean Theorem's formula.

We have two different leg lengths: 15 and 36. (A & B).

Square 15 and 36.

15²  = 225

36²  = 1,296

Let's add the side lengths now that we have them.

225 + 1,296 = 1,521.

We now need to square root our sum in order to find C.

39 is the square root of 1,521.

39 is your hypotenuse.

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The maximum profit that the florist will earn from selling celebration bouquets is $675.

The florist will break even after 20 one-dollar increases.

The interval of the number of one-dollar increases for which the florist makes a profit from celebration bouquets is [tex](0,20)[/tex].

30 * x⁵y⁸ will be the volume of the given rectangular prism.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given a rectangular prism whose sides are mentioned in the problem.

From the general formula of the Volume of Cuboid:

Volume of cuboid = length *width*height

In our case,

Length = 3x²y²

Width = 5x²y⁴

Height = 2xy²

Thus,

volume of rectangular prism = 3x²y²* 5x²y⁴ * 2xy²

volume of rectangular prism = 30 * x⁵y⁸

therefore, the volume of the given rectangular prism will be 30 * x⁵y⁸.

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Answer:

Step-by-step explanation:

c is the correct answer

Answer: c

Step-by-step explanation:

The given equation represents the current (i (t)) flowing through a wire in milliamps (ma) over time (t) in seconds (s).

(a) To sketch i (t) versus t, the equation i (t) is first rearranged into three separate parts; i (t) = 0 for t < 0, i (t) = 6t for 0 ≤ t ≤ 5s and i (t) = 30e−0.6(t−5) for t ≥ 5s. The graph is then plotted with the origin (0, 0) and the points (0, 0), (5, 30) and (10, 0). A line is then drawn from (0, 0) to (5, 30) and then from (5, 30) to (10, 0). The resulting plot is the graph of i (t) versus t.

(b) To sketch q (t) versus t, the integral of the equation i (t) is taken. The integral of i (t) = 0 for t < 0 is 0. The integral of i (t) = 6t for 0 ≤ t ≤ 5s is q (t) = 3t2 + C. The integral of i (t) = 30e−0.6(t−5) for t ≥ 5s is q (t) = −30e−0.6(t−5) + C. The graph is then plotted with the origin (0, 0) and the points (0, 0), (5, 75) and (10, -30). A line is then drawn from (0, 0) to (5, 75) and then from (5, 75) to (10, -30). The resulting plot is the graph of q (t) versus t.

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Answer:

[tex]x=\frac{1}{27}[/tex]

Step-by-step explanation:

Solve for x.

We need to use the quotient property of logarithms.

Quotient Property of Logarithms: [tex]\log _{b} (x)-\log _{b} (y)=\log _{b} (\frac{x}{y} )[/tex]

Apply the property to our equation.

[tex]\log(\frac{3}{x})=2\log(9)[/tex]

Simplify the right side by moving the 2 inside the logarithm.

[tex]\log(\frac{3}{x})=\log(9^2)[/tex]

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

[tex]\frac{3}{x}=9^2[/tex]

Evaluate [tex]9^2[/tex].

[tex]\frac{3}{x}=81[/tex]

Multiply both sides of the equation by x.

[tex]\frac{3}{x}x=81x[/tex]

Cancel the common factor of x on the left side.

[tex]3=81x[/tex]

Divide both sides by 81.

[tex]\frac{3}{81} =\frac{81x}{81}[/tex]

[tex]\frac{3}{81} =x[/tex]

Simplify the fraction.

[tex]x=\frac{1}{27}[/tex]

The percentage of American women that have shoe sizes that are at least 11.1 is; 0.0015

Empirical Rule

We are given;

Mean; x' = 8.04

Standard deviation; σ = 1.53

Using the empirical rule, we can have the data either 1, 2, or 3 standard deviations from the mean.

Thus;

At 1 standard deviation from the mean, we have;

8.04 ± 1(1.53)

⇒ (6.52, 8.56)

At 2 standard deviations from the mean, we have;

8.04 ± 2(1.53)

⇒ (5, 11.08)

At 3 standard deviations from the mean, we have;

8.04 ± 3(1.52)

⇒ (3.48, 12.6)

We can see that the one with at least 12,6 is 3 standard deviations from the mean which from the empirical rule is 99.7%

Thus;

percentage of American women have shoe sizes that are at least 12.6 = 100% - 99.7% - 0.15%

P(x ≥ 12.6) = 0.15% = 0.0015

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Answer:

50,000

Step-by-step explanation:

There are 720  different slates of candidates possible.

Permutation:

The permutation is a statistical method that determines the number of possible arrangements. In permutation, the order of selection is important and replacements are not allowed.

Permutation can be divided into three different types:

The general formula of Permutations:

[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

n= total number of members.

r=number of members selected.

Here n=10 and r= 3

Now substitute the values in the above formula:

[tex]^nP_r=\frac{10!}{(10-3)!} \\\\^nP_r=\frac{10!}{7!}\\\\^nP_r= \frac{10*9*8*7!}{7!} \\\\^nP_r=10*9*8\\\\^nP_r=720[/tex]

Therefore, there are 720 different slates of candidates possible.

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For a ΔABC when rotated 90° clockwise and dilated with a factor of 2 the new vertices becomes option C: A'(0,4), B'(6,-4) and C'(-2,-2).

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

The vertices of triangle ABC are - A(-2,0), B(2,3) and C(1,-1).

When an object is rotated at an angle of 90° clockwise the formula for the vertices becomes (x,y) → (y,-x)

So, the new vertices are -

A(-2,0) → [(0),-(-2)] → a(0,2)

B(2,3) → [(3),-(2)] → b(3,-2)

C(1,-1) → [(-1),-(1)] → c(-1,-1)

When an object is dilated by a factor of 2 the formula for the vertices becomes (x,y) → (2x,2y)

So, the new vertices are -

a(0,2) → [2(0),2(2)] → A'(0,4)

b(3,-2) → [2(3),2(-2)] → B'(6,-4)

c(-1,-1) → [2(-1),2(-1)] → C'(-2,-2)

Therefore, the new vertices are A'(0,4), B'(6,-4) and C'(-2,-2).

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Answer:

Any angles that share a common vertex and side are adjacent angles.

Answer:

x = 7.5

y = 166º

Step-by-step explanation:

4 ------ 6

5 ------ x

4x = 30

x = 7.5

116 + 61 + 90 + (y - 73) = 360

y - 73 = 360 - 267

y = 93 + 73

y = 166

Answer:

The other answer shows how to get it but for points just showing his answers are right.

Step-by-step explanation:

Answer:

n = - 5

Step-by-step explanation:

- 2(8n - 3) = 43(n + 7) ← distribute parenthesis on both sides

- 16n + 6 = 43n + 301 ( subtract 43n from both sides )

- 59n + 6 = 301 ( subtract 6 from both sides )

- 59n = 295 ( divide both sides by - 59 )

n = - 5

Answer:

n=7.14

Step-by-step explanation:

-2(8n-3)=43(n+7)

distribute

-16n+6=43n+301

add 16n on both sides

6=43n-301

add 301 on both sides

307=43n

divide both sides by 43

n=7.1395

Answer:

Below

Step-by-step explanation:

1) The derivative of (2x³-5x²+6x-3)/x² is (6x²-10x+6-3x)/x³

2) The derivative of sin^-1(x)+cos^-1(x)-Inx is (1/(√(1-x²))*dx + (-1/(√(1-x²))*dx )- (1/x)*dx

3) The derivative of 5^x - 6cosec1/2(x) + 3/7(cos5x) - 2 is (ln(5) * 5^x) - (6*(-csc(x)cot(x))dx) + (3/7(-5sin(5x))*dx)

The value of x is 16 and the values of given angles are 45,45.

What are parallel lines ?

Parallel lines can be defined as the lines which are equi distant to each other and they never intersect each other.

Given Two angles,

3x - 3 and 2x+13

Here two angles are vertically opposite angles

so we know that vertically opposite angles are always equal.

3x - 3 = 2x + 13

3x - 2x = 13 + 3

x = 16

SO, the value of x = 16

and 3x - 3 = 3*16 - 3 = 48 - 3 = 45

2x + 13 = 2*16 + 13 = 45

Therefore, The value of x is 16 and the values of given angles are 45,45.

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On the left side of the expression, the first term is cos(x y)sin(y) and the second term is sin(x y)cos( y ).cos(x y)sin(y) sin(x y)cos(y) = cos(x y)sin(y) − sin(x y)cos(y)

We can use the trigonometric identity sin(A)cos(B) - cos(A)sin(B) to simplify the expression.

On the left side of the expression, the first term is cos(x y)sin(y) and the second term is sin(x y)cos( y ).

We can rearrange the terms and apply the identity, which gives us:

On the left side of the expression, the first term is cos(x y)sin(y) and the second term is sin(x y)cos( y ).

cos(x y)sin(y) − sin(x y)cos(y)

the complete question is :

What is the result of cos(x y)sin(y) - sin(x y)cosy?

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Answer:

d. $6

Step-by-step explanation: