Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is 5 1/2% of the selling price. (Hint: 5 1/2% is what decimal number?)

Answer:

I have to show the work gimme a sec

Step-by-step explanation:

Answer: 180 degrees

Step-by-step explanation: I think

Answer:

it's not 180

Step-by-step explanation:

you have to add 105 + 53. then you get that number and subtract it from 180, that's your answer

The volume of the largest cylinder is 28,27 cubic cm

The shape is given as

Shape = cube

The volume is given as

Volume = 27

The side lengths of the cube is represented as

l = ∛V

So, we have

l = ∛27

Evaluate

l= 3

The volume of the largest cylinder is then calculated as

V = 1/3πl³

So, we have

V = 1/3π * 3³

Evaluate

V = 9π

Solve the expression

V = 28,27

Hence, the volume is 28,27 cubic cm

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Answer:

there are 20 movies

Step-by-step explanation:

The value of x for the given triangle will be 4√3.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

The unknown third angle will be 180° - 60° - 30° = 90°.

Thus, it is a right-angle triangle so a trigonometric ratio will apply.

By sin60°  = x/8

x = 8(√3/2) = 4√3

Hence "The value of x for the given triangle will be 4√3".

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Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

Answer:

if I read the numbers correctly then she has $545 left

Step-by-step explanation:

subtract all the payments then add the deposits because those stay in the bank

(so sorry if this is wrong. Answer without adding deposits: 490)

Mrs Thomas' and Mr Carl's classes both have same lower ratio of A's to B's which expressed in the lowest term as 4:5 or fraction as 4/5

Ratio is used to compare values, and can be expressed as fractions.

Mrs Thomas' class have the ratio of students her students A's to B's as 16:20. And can be expressed as fraction in its lowest term as follows:

16:20 = 16/20

16:20 = 4/5

Mr Carl's class have the ratio of students her students A's to B's as 12:15. And can be expressed as fraction in its lowest term as follows:

12:15 = 12/15

12:15 = 4/5

Therefore, since the lowest form of Mrs Thomas' class and Mr Carl's class ratios of A's to B's are equal, then both class have equivalent lower ratio of A's to B's.

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The mean, Margin of error at 99% confidence level and 99% confidence interval for the given data is 66.75 inches, 2.73 inches and [64.02, 69.48] respectively.

Mean is the arithmetic average of all the observations.

Mean = Sum of all the observation/ Total no.ofobservation

= 66 + 65 + 74 + 66 + 63 + 69 + 63 + 68 / 8

= 534 / 8 = 66.75 inches

Standard error = Standard deviation / √n

= 3 /√8 = 1.06 inches

Margin of error = Z * Standard error

Where Z, is the critical value (corresponding to the desired confidence level)

Using standard normal distribution we get Zvalue roughly around 2.576.

= 2.576 * 1.06 = 2.73 inches

Confidence Interval = ( Mean - Margin of error), (Mean + Margin of error)

= 66.75 - 2.73, 66.75 + 2.73

= [64.02, 69.48]

Therefore, the mean height is 66.75 inches, the margin of error at 99% confidence level is 2.73 inches, and the 99% confidence interval is  [64.02, 69.48].

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The complete question is:

Suppose the mean height in inches of all 9th grade students at one high school estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 66,65, 74, 66, 63, 69,63 and 68.

Find Mean

Margin of error at 99% confidence level

99% confidence interval

Answer:

5/6, -0.62, -0.615

Step-by-step explanation:

Hope this Help If i got it wrong I'm sorry I tried :(

Answer:

\(\textsf{1.} \quad (x-1)^2=12(y+2)\)

     See attachment 1.

2.  See attachment 2.

Step-by-step explanation:

Given values:

As the x-value of the vertex and focus is the same, the parabola has a vertical axis of symmetry.

The focus is always on the inside of the parabola.

Since p represents the distance from the vertex to the focus, and the distance from the vertex to the focus is 1 - (-2) = 3, then p = 3.

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.  Therefore, as p > 0, the parabola opens upwards.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Standard form of a parabola}\\(with a vertical axis of symmetry)\\\\$(x-h)^2=4p(y-k)$\\\\where:\\ \phantom{ww}$\bullet$ $p\neq 0$\\ \phantom{ww}$\bullet$ Vertex: \;$(h,k)$\\ \phantom{ww}$\bullet$ Focus:\; $(h,k+p)$\\ \phantom{ww}$\bullet$ Directrix: \; $y=(k-p)$\\ \phantom{ww}$\bullet$ Axis of symmetry: \; $x=h$\\\end{minipage}}\)

Therefore:

Substitute the values into the formula:

\(\implies (x-h)^2=4p(y-k)\)

\(\implies (x-1)^2=4\cdot 3(y-(-2))\)

\(\implies (x-1)^2=12(y+2)\)

See attachment 1 for the graph of the parabola.

Given equation of a parabola:

\((y-4)^2=8(x+2)\)

As the y-variable is contained within the squared part of the equation, the parabola has a horizontal axis of symmetry.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Standard form of a parabola}\\(with a horizontal axis of symmetry)\\\\$(y-k)^2=4p(x-h)$\\\\where:\\ \phantom{ww}$\bullet$ $p\neq 0$\\ \phantom{ww}$\bullet$ Vertex: \;$(h,k)$\\ \phantom{ww}$\bullet$ Focus:\; $(h+p,k)$\\ \phantom{ww}$\bullet$ Directrix: \; $x=(h-p)$\\ \phantom{ww}$\bullet$ Axis of symmetry: \; $y=k$\\\end{minipage}}\)

Therefore:

If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.   Therefore, as p > 0, the parabola opens to the right.

Find the y-intercepts of the graph by substituting x = 0 into the equation:

\(\implies (y-4)^2=8(0+2)\)

\(\implies (y-4)^2=16\)

\(\implies y-4=\pm4\)

\(\implies y=4\pm4\)

\(\implies y=0, y=8\)

To sketch the graph of the parabola, plot:

Draw a curve through the vertex and y-intercepts, opening to the right.

Use the axis of symmetry to ensure the curve is symmetric.

See attachment 2 for the graph of the parabola.

Answer:

- 95/18

Step-by-step explanation:

1st you have to convert the mixed number to an improper fraction so 2 ×6 = 12 +1 = 13 and that together equals 13/6 same goes for the next take away the parentheses 13/6 - 8/3 - 4 7/9

then you have to do the same thing with the 1st fraction convert it 4 × 9 = 36 + 7 = 43 that equals together 43/9

lastly you have to calculate the difference 13/6 - 8/3 - 43/9 and that equals negative 95/18

by the way the 95 isnt a negative the fraction itself is

Using the cosine double-angle identity. The cosine double angle formula tells us that cos(2θ) is always equal to cos²θ-sin²θ.

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

Answer:

The measure of angle F is 67.6°

Step-by-step explanation:

In the right triangle DEF

∵ ∠E is the right angle

∵ Side DF is opposite to ∠E

∴ DF is the hypotenuse of the triangle DEF

∵ Side EF is the adjacent side of ∠F

∵ The cosine ratio = \(\frac{Adjacent}{Hypotenuse}\)

∴ cos∠F = \(\frac{EF}{DF}\)

∵ EF = 8 units

∵ DF = 21 units

→ Substitute them in the cosine ratio above

∴ cos∠F = \(\frac{8}{21}\)

→ Use \(cos^{-1}\) to find the measure of angle F

∵ m∠F = \(cos^{-1}(\frac{8}{21})\)

∴ m∠F = 67.60731219 degrees

→ Round it the nearest tenth of a degree

∴ m∠F = 67.6°

∴ The measure of angle F is 67.6°

When 3g+6(-g+(-5)) is broken down, it makes -3g+-5

Answer:

it’s none of the above aka c i had this in my khan academy

Step-by-step explanation:

Answer:

a₁₃ = 4096

Step-by-step explanation:

The n th term of a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{2}{1}\) = 2 , then

a₁₃ = 1 × \(2^{12}\) = 4096

See the attached picture.

if A is similar to B, then A and B have the same characteristic polynomial and eigenvalues. This can be proven using the fact that A and B represent the same linear transformation with respect to different bases, and therefore have the same characteristic polynomial.

The characteristic polynomial of a matrix is defined as the determinant of the matrix minus lambda times the identity matrix, where lambda is a scalar. The eigenvalues of a matrix are the solutions to the characteristic polynomial.

To prove that A has the same characteristic polynomial and eigenvalues as B, we can use the fact that A and B are similar, which means there exists an invertible matrix P such that A = P^-1BP.

Using this equation, we can compute the characteristic polynomial of A as det(A - lambda I) = det(P^-1BP - lambda P^-1IP) = det(P^-1(B - lambda I)P), which is equal to the characteristic polynomial of B, det(B - lambda I). Therefore, A and B have the same characteristic polynomial and eigenvalues.

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Answer:

B) adjacent angles are supplementary, not complementary

Step-by-step explanation:

Adjacent angles in a parallelogram are not complementary.

No, the consecutive angles of a parallelogram exist not complementary angles. The consecutive angles of a parallelogram exist also directed to the adjacent angles that exist as supplementary, that is, they add up to 180°.

The adjacent angles of a parallelogram exist those angles that exist placed subsequent to each other in order. Observe the subsequent parallelogram to visit the 4 pairs of adjacent angles. These angles stand also comprehended as consecutive angles of a parallelogram. Each pair of adjacent angles here adds up to 180°. The 4 pairs of adjacent angles in the parallelogram exist, ∠P and ∠Q, ∠Q and ∠R, ∠R and ∠S, and ∠S and ∠P.

Therefore, the correct answer is option B. Adjacent angles in a parallelogram are complementary.

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Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

The two points where fx(x, y) = fy(x, y) = 0 simultaneously are (0, 0) and ((1/15)(3^(1/4)), 3^(1/2)).

To find all points where fx(x, y) = fy(x, y) = 0, we need to find the partial derivatives of f with respect to x and y and then solve the system of equations:

fx(x, y) = 45x^2 - 3y = 0

fy(x, y) = -3x + 45y^2 = 0

From the first equation, we have:

y = 15x^2

Substituting this into the second equation, we get:

-3x + 45(15x^2)^2 = 0

Simplifying this equation, we get:

x(3375x^4 - 1) = 0

So either x = 0 or 3375x^4 - 1 = 0. If x = 0, then y = 0 as well, so we have one solution at (0, 0).

If 3375x^4 - 1 = 0, then x = (1/15)(3^(1/4)), and y = 15x^2 = 3^(1/2). Therefore, we have another solution at (1/15)(3^(1/4)), 3^(1/2)).

Therefore, the two points where fx(x, y) = fy(x, y) = 0 simultaneously are (0, 0) and ((1/15)(3^(1/4)), 3^(1/2)).

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The solution of the system of equtaions:

Y = 5x + 1

Y = -x - 5

is (-1, -4), look at the graph at the end.

To solve a system of equations graphically just graph both of the equations, in this case are the lines y = 5x + 1 and y = -x - 5, in the same coordinate axis and then identify the point where these two lines intersect.

That point will be the solution of the given system of equations.

Said graph can be seen in the image at the end. There you can see two lines, one orange and one blue, and the lines intersect at the point (-1, -4), so that is the solution of the system.

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The true statement is, Parameter values can be used within the method code block. (option e).

In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.

Parameter values can be used within the method code block.

This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.

In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.

Hence the option (e) is correct.

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The triangle is an equilateral triangle and it is an acute triangle

From the question, we have the following parameters that can be used in our computation:

The triangle

From the figure, we can see that

The three lengths of triangle are congruent

This means that the triangle is an equilateral triangle

Also, we can see that

All angles in the triangle are less than 90

This means that the triangle is an acute triangle

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The sequence that models the amount of the radioactive substance left after each year is a geometric sequence with a recursive formula of An+1 = (2/3) * An.

The recursive formula for the sequence that models the amount of the radioactive substance left after each year can be derived from the given information that the substance decreases by one third each year. Let's denote the amount of substance after n years as An.

The recursive formula can be written as:

A1 = g (the starting amount)

An+1 = (2/3) * An (each year, the amount decreases by one third)

To determine whether the sequence is arithmetic or geometric, we need to check if the common difference or common ratio between consecutive terms is constant.

In this case, the sequence is geometric because the ratio between consecutive terms, An+1/An, is constant. It is equal to 2/3, indicating that each term is obtained by multiplying the previous term by the same ratio.

Therefore, the sequence that models the amount of the radioactive substance left after each year is a geometric sequence with a recursive formula of An+1 = (2/3) * An.

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